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Finding the Fourth Proportional to 258.68, 385.90 and 240.04

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Solution

The fourth proportional to 258.68, 385.90 and 240.04 is: 358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.68 : 385.90 = 240.04 : x
  2. Step 2: Convert to fraction form
    258.68/385.90 = 240.04/x
  3. Step 3: Cross multiply
    258.68x = 385.90 × 240.04
  4. Step 4: Simplify right side
    258.68x = 92,631.44
  5. Step 5: Solve for x
    x = 92,631.44/258.68
  6. Step 6: Final answer
    x = 358.09

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