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Finding the Fourth Proportional to 374.81, 562.20 and 158.24

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Solution

The fourth proportional to 374.81, 562.20 and 158.24 is: 237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.81 : 562.20 = 158.24 : x
  2. Step 2: Convert to fraction form
    374.81/562.20 = 158.24/x
  3. Step 3: Cross multiply
    374.81x = 562.20 × 158.24
  4. Step 4: Simplify right side
    374.81x = 88,959.72
  5. Step 5: Solve for x
    x = 88,959.72/374.81
  6. Step 6: Final answer
    x = 237.35

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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.