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Finding the Fourth Proportional to 372.16, 513.36 and 232.24

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Solution

The fourth proportional to 372.16, 513.36 and 232.24 is: 320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.16 : 513.36 = 232.24 : x
  2. Step 2: Convert to fraction form
    372.16/513.36 = 232.24/x
  3. Step 3: Cross multiply
    372.16x = 513.36 × 232.24
  4. Step 4: Simplify right side
    372.16x = 119,222.73
  5. Step 5: Solve for x
    x = 119,222.73/372.16
  6. Step 6: Final answer
    x = 320.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.