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Finding the Fourth Proportional to 374.91, 561.96 and 158.64

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Solution

The fourth proportional to 374.91, 561.96 and 158.64 is: 237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.91 : 561.96 = 158.64 : x
  2. Step 2: Convert to fraction form
    374.91/561.96 = 158.64/x
  3. Step 3: Cross multiply
    374.91x = 561.96 × 158.64
  4. Step 4: Simplify right side
    374.91x = 89,149.33
  5. Step 5: Solve for x
    x = 89,149.33/374.91
  6. Step 6: Final answer
    x = 237.79

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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.