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Finding the Fourth Proportional to 470.86, 706.10 and 146.10

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Solution

The fourth proportional to 470.86, 706.10 and 146.10 is: 219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.86 : 706.10 = 146.10 : x
  2. Step 2: Convert to fraction form
    470.86/706.10 = 146.10/x
  3. Step 3: Cross multiply
    470.86x = 706.10 × 146.10
  4. Step 4: Simplify right side
    470.86x = 103,161.21
  5. Step 5: Solve for x
    x = 103,161.21/470.86
  6. Step 6: Final answer
    x = 219.09

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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.