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Finding the Fourth Proportional to 356.24, 534.38 and 112.76

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Solution

The fourth proportional to 356.24, 534.38 and 112.76 is: 169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.24 : 534.38 = 112.76 : x
  2. Step 2: Convert to fraction form
    356.24/534.38 = 112.76/x
  3. Step 3: Cross multiply
    356.24x = 534.38 × 112.76
  4. Step 4: Simplify right side
    356.24x = 60,256.69
  5. Step 5: Solve for x
    x = 60,256.69/356.24
  6. Step 6: Final answer
    x = 169.15

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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.