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Finding the Fourth Proportional to 230.61, 345.51 and 153.39

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Solution

The fourth proportional to 230.61, 345.51 and 153.39 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.61 : 345.51 = 153.39 : x
  2. Step 2: Convert to fraction form
    230.61/345.51 = 153.39/x
  3. Step 3: Cross multiply
    230.61x = 345.51 × 153.39
  4. Step 4: Simplify right side
    230.61x = 52,997.78
  5. Step 5: Solve for x
    x = 52,997.78/230.61
  6. Step 6: Final answer
    x = 229.82

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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.