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Finding the Fourth Proportional to 237.60, 354.38 and 233.49

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Solution

The fourth proportional to 237.60, 354.38 and 233.49 is: 348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 354.38 = 233.49 : x
  2. Step 2: Convert to fraction form
    237.60/354.38 = 233.49/x
  3. Step 3: Cross multiply
    237.60x = 354.38 × 233.49
  4. Step 4: Simplify right side
    237.60x = 82,744.35
  5. Step 5: Solve for x
    x = 82,744.35/237.60
  6. Step 6: Final answer
    x = 348.25

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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.