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Finding the Fourth Proportional to 230.61, 345.90 and 107.14

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Solution

The fourth proportional to 230.61, 345.90 and 107.14 is: 160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.61 : 345.90 = 107.14 : x
  2. Step 2: Convert to fraction form
    230.61/345.90 = 107.14/x
  3. Step 3: Cross multiply
    230.61x = 345.90 × 107.14
  4. Step 4: Simplify right side
    230.61x = 37,059.01
  5. Step 5: Solve for x
    x = 37,059.01/230.61
  6. Step 6: Final answer
    x = 160.70

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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.