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Finding the Fourth Proportional to 372.25, 558.01 and 152.74

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Solution

The fourth proportional to 372.25, 558.01 and 152.74 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.25 : 558.01 = 152.74 : x
  2. Step 2: Convert to fraction form
    372.25/558.01 = 152.74/x
  3. Step 3: Cross multiply
    372.25x = 558.01 × 152.74
  4. Step 4: Simplify right side
    372.25x = 85,230.45
  5. Step 5: Solve for x
    x = 85,230.45/372.25
  6. Step 6: Final answer
    x = 228.96

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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.