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Finding the Fourth Proportional to 470.71, 706.16 and 146.06

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Solution

The fourth proportional to 470.71, 706.16 and 146.06 is: 219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.71 : 706.16 = 146.06 : x
  2. Step 2: Convert to fraction form
    470.71/706.16 = 146.06/x
  3. Step 3: Cross multiply
    470.71x = 706.16 × 146.06
  4. Step 4: Simplify right side
    470.71x = 103,143.86
  5. Step 5: Solve for x
    x = 103,143.86/470.71
  6. Step 6: Final answer
    x = 219.13

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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.