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Finding the Fourth Proportional to 470.78, 706.29 and 146.15

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Solution

The fourth proportional to 470.78, 706.29 and 146.15 is: 219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.78 : 706.29 = 146.15 : x
  2. Step 2: Convert to fraction form
    470.78/706.29 = 146.15/x
  3. Step 3: Cross multiply
    470.78x = 706.29 × 146.15
  4. Step 4: Simplify right side
    470.78x = 103,224.28
  5. Step 5: Solve for x
    x = 103,224.28/470.78
  6. Step 6: Final answer
    x = 219.26

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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.