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Finding the Fourth Proportional to 372.08, 557.12 and 209.52

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Solution

The fourth proportional to 372.08, 557.12 and 209.52 is: 313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.08 : 557.12 = 209.52 : x
  2. Step 2: Convert to fraction form
    372.08/557.12 = 209.52/x
  3. Step 3: Cross multiply
    372.08x = 557.12 × 209.52
  4. Step 4: Simplify right side
    372.08x = 116,727.78
  5. Step 5: Solve for x
    x = 116,727.78/372.08
  6. Step 6: Final answer
    x = 313.72

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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.