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Finding the Fourth Proportional to 511.28, 766.98 and 146.09

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Solution

The fourth proportional to 511.28, 766.98 and 146.09 is: 219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.28 : 766.98 = 146.09 : x
  2. Step 2: Convert to fraction form
    511.28/766.98 = 146.09/x
  3. Step 3: Cross multiply
    511.28x = 766.98 × 146.09
  4. Step 4: Simplify right side
    511.28x = 112,048.11
  5. Step 5: Solve for x
    x = 112,048.11/511.28
  6. Step 6: Final answer
    x = 219.15

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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.