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Finding the Fourth Proportional to 250.31, 375.47 and 106.13

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Solution

The fourth proportional to 250.31, 375.47 and 106.13 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.31 : 375.47 = 106.13 : x
  2. Step 2: Convert to fraction form
    250.31/375.47 = 106.13/x
  3. Step 3: Cross multiply
    250.31x = 375.47 × 106.13
  4. Step 4: Simplify right side
    250.31x = 39,848.63
  5. Step 5: Solve for x
    x = 39,848.63/250.31
  6. Step 6: Final answer
    x = 159.20

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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.