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Finding the Fourth Proportional to 471.54, 706.80 and 178.90

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Solution

The fourth proportional to 471.54, 706.80 and 178.90 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.54 : 706.80 = 178.90 : x
  2. Step 2: Convert to fraction form
    471.54/706.80 = 178.90/x
  3. Step 3: Cross multiply
    471.54x = 706.80 × 178.90
  4. Step 4: Simplify right side
    471.54x = 126,446.52
  5. Step 5: Solve for x
    x = 126,446.52/471.54
  6. Step 6: Final answer
    x = 268.16

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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.