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Finding the Fourth Proportional to 313.92, 471.34 and 177.24

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Solution

The fourth proportional to 313.92, 471.34 and 177.24 is: 266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.92 : 471.34 = 177.24 : x
  2. Step 2: Convert to fraction form
    313.92/471.34 = 177.24/x
  3. Step 3: Cross multiply
    313.92x = 471.34 × 177.24
  4. Step 4: Simplify right side
    313.92x = 83,540.30
  5. Step 5: Solve for x
    x = 83,540.30/313.92
  6. Step 6: Final answer
    x = 266.12

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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.