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Finding the Fourth Proportional to 470.86, 706.29 and 146.23

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Solution

The fourth proportional to 470.86, 706.29 and 146.23 is: 219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.86 : 706.29 = 146.23 : x
  2. Step 2: Convert to fraction form
    470.86/706.29 = 146.23/x
  3. Step 3: Cross multiply
    470.86x = 706.29 × 146.23
  4. Step 4: Simplify right side
    470.86x = 103,280.79
  5. Step 5: Solve for x
    x = 103,280.79/470.86
  6. Step 6: Final answer
    x = 219.35

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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.