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Finding the Fourth Proportional to 372.08, 558.16 and 152.84

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Solution

The fourth proportional to 372.08, 558.16 and 152.84 is: 229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.08 : 558.16 = 152.84 : x
  2. Step 2: Convert to fraction form
    372.08/558.16 = 152.84/x
  3. Step 3: Cross multiply
    372.08x = 558.16 × 152.84
  4. Step 4: Simplify right side
    372.08x = 85,309.17
  5. Step 5: Solve for x
    x = 85,309.17/372.08
  6. Step 6: Final answer
    x = 229.28

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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.