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Finding the Fourth Proportional to 378.81, 567.14 and 250.29

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Solution

The fourth proportional to 378.81, 567.14 and 250.29 is: 374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.81 : 567.14 = 250.29 : x
  2. Step 2: Convert to fraction form
    378.81/567.14 = 250.29/x
  3. Step 3: Cross multiply
    378.81x = 567.14 × 250.29
  4. Step 4: Simplify right side
    378.81x = 141,948.22
  5. Step 5: Solve for x
    x = 141,948.22/378.81
  6. Step 6: Final answer
    x = 374.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.