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Finding the Fourth Proportional to 237.24, 353.65 and 233.72

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Solution

The fourth proportional to 237.24, 353.65 and 233.72 is: 348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.24 : 353.65 = 233.72 : x
  2. Step 2: Convert to fraction form
    237.24/353.65 = 233.72/x
  3. Step 3: Cross multiply
    237.24x = 353.65 × 233.72
  4. Step 4: Simplify right side
    237.24x = 82,655.08
  5. Step 5: Solve for x
    x = 82,655.08/237.24
  6. Step 6: Final answer
    x = 348.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.