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Finding the Fourth Proportional to 263.60, 363.12 and 237.68

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Solution

The fourth proportional to 263.60, 363.12 and 237.68 is: 327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.60 : 363.12 = 237.68 : x
  2. Step 2: Convert to fraction form
    263.60/363.12 = 237.68/x
  3. Step 3: Cross multiply
    263.60x = 363.12 × 237.68
  4. Step 4: Simplify right side
    263.60x = 86,306.36
  5. Step 5: Solve for x
    x = 86,306.36/263.60
  6. Step 6: Final answer
    x = 327.41

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