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Finding the Fourth Proportional to 237.08, 354.12 and 232.75

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Solution

The fourth proportional to 237.08, 354.12 and 232.75 is: 347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.08 : 354.12 = 232.75 : x
  2. Step 2: Convert to fraction form
    237.08/354.12 = 232.75/x
  3. Step 3: Cross multiply
    237.08x = 354.12 × 232.75
  4. Step 4: Simplify right side
    237.08x = 82,421.43
  5. Step 5: Solve for x
    x = 82,421.43/237.08
  6. Step 6: Final answer
    x = 347.65

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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.