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Finding the Fourth Proportional to 374.83, 562.25 and 158.41

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Solution

The fourth proportional to 374.83, 562.25 and 158.41 is: 237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.83 : 562.25 = 158.41 : x
  2. Step 2: Convert to fraction form
    374.83/562.25 = 158.41/x
  3. Step 3: Cross multiply
    374.83x = 562.25 × 158.41
  4. Step 4: Simplify right side
    374.83x = 89,066.02
  5. Step 5: Solve for x
    x = 89,066.02/374.83
  6. Step 6: Final answer
    x = 237.62

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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.