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Finding the Fourth Proportional to 242.37, 333.78 and 231.44

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Solution

The fourth proportional to 242.37, 333.78 and 231.44 is: 318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.37 : 333.78 = 231.44 : x
  2. Step 2: Convert to fraction form
    242.37/333.78 = 231.44/x
  3. Step 3: Cross multiply
    242.37x = 333.78 × 231.44
  4. Step 4: Simplify right side
    242.37x = 77,248.37
  5. Step 5: Solve for x
    x = 77,248.37/242.37
  6. Step 6: Final answer
    x = 318.72

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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.