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Finding the Fourth Proportional to 925.10, 1,387.63 and 231.75

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Solution

The fourth proportional to 925.10, 1,387.63 and 231.75 is: 347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.10 : 1,387.63 = 231.75 : x
  2. Step 2: Convert to fraction form
    925.10/1,387.63 = 231.75/x
  3. Step 3: Cross multiply
    925.10x = 1,387.63 × 231.75
  4. Step 4: Simplify right side
    925.10x = 321,583.25
  5. Step 5: Solve for x
    x = 321,583.25/925.10
  6. Step 6: Final answer
    x = 347.62

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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.