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Finding the Fourth Proportional to 230.17, 345.29 and 67.86

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Solution

The fourth proportional to 230.17, 345.29 and 67.86 is: 101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.17 : 345.29 = 67.86 : x
  2. Step 2: Convert to fraction form
    230.17/345.29 = 67.86/x
  3. Step 3: Cross multiply
    230.17x = 345.29 × 67.86
  4. Step 4: Simplify right side
    230.17x = 23,431.38
  5. Step 5: Solve for x
    x = 23,431.38/230.17
  6. Step 6: Final answer
    x = 101.80

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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.