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Finding the Fourth Proportional to 470.69, 706.07 and 146.08

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Solution

The fourth proportional to 470.69, 706.07 and 146.08 is: 219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.69 : 706.07 = 146.08 : x
  2. Step 2: Convert to fraction form
    470.69/706.07 = 146.08/x
  3. Step 3: Cross multiply
    470.69x = 706.07 × 146.08
  4. Step 4: Simplify right side
    470.69x = 103,142.71
  5. Step 5: Solve for x
    x = 103,142.71/470.69
  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.