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Finding the Fourth Proportional to 230.81, 346.37 and 86.53

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Solution

The fourth proportional to 230.81, 346.37 and 86.53 is: 129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 346.37 = 86.53 : x
  2. Step 2: Convert to fraction form
    230.81/346.37 = 86.53/x
  3. Step 3: Cross multiply
    230.81x = 346.37 × 86.53
  4. Step 4: Simplify right side
    230.81x = 29,971.40
  5. Step 5: Solve for x
    x = 29,971.40/230.81
  6. Step 6: Final answer
    x = 129.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.