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Finding the Fourth Proportional to 314.24, 471.56 and 131.76

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Solution

The fourth proportional to 314.24, 471.56 and 131.76 is: 197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 471.56 = 131.76 : x
  2. Step 2: Convert to fraction form
    314.24/471.56 = 131.76/x
  3. Step 3: Cross multiply
    314.24x = 471.56 × 131.76
  4. Step 4: Simplify right side
    314.24x = 62,132.09
  5. Step 5: Solve for x
    x = 62,132.09/314.24
  6. Step 6: Final answer
    x = 197.72

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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.