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Finding the Fourth Proportional to 252.76, 378.19 and 150.10

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Solution

The fourth proportional to 252.76, 378.19 and 150.10 is: 224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.76 : 378.19 = 150.10 : x
  2. Step 2: Convert to fraction form
    252.76/378.19 = 150.10/x
  3. Step 3: Cross multiply
    252.76x = 378.19 × 150.10
  4. Step 4: Simplify right side
    252.76x = 56,766.32
  5. Step 5: Solve for x
    x = 56,766.32/252.76
  6. Step 6: Final answer
    x = 224.59

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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.