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Finding the Fourth Proportional to 372.53, 558.06 and 174.61

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Solution

The fourth proportional to 372.53, 558.06 and 174.61 is: 261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.53 : 558.06 = 174.61 : x
  2. Step 2: Convert to fraction form
    372.53/558.06 = 174.61/x
  3. Step 3: Cross multiply
    372.53x = 558.06 × 174.61
  4. Step 4: Simplify right side
    372.53x = 97,439.76
  5. Step 5: Solve for x
    x = 97,439.76/372.53
  6. Step 6: Final answer
    x = 261.56

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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.