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Finding the Fourth Proportional to 511.05, 766.20 and 164.18

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Solution

The fourth proportional to 511.05, 766.20 and 164.18 is: 246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.05 : 766.20 = 164.18 : x
  2. Step 2: Convert to fraction form
    511.05/766.20 = 164.18/x
  3. Step 3: Cross multiply
    511.05x = 766.20 × 164.18
  4. Step 4: Simplify right side
    511.05x = 125,790.89
  5. Step 5: Solve for x
    x = 125,790.89/511.05
  6. Step 6: Final answer
    x = 246.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.