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Finding the Fourth Proportional to 511.35, 766.80 and 146.06

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Solution

The fourth proportional to 511.35, 766.80 and 146.06 is: 219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.35 : 766.80 = 146.06 : x
  2. Step 2: Convert to fraction form
    511.35/766.80 = 146.06/x
  3. Step 3: Cross multiply
    511.35x = 766.80 × 146.06
  4. Step 4: Simplify right side
    511.35x = 111,994.24
  5. Step 5: Solve for x
    x = 111,994.24/511.35
  6. Step 6: Final answer
    x = 219.02

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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.