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Finding the Fourth Proportional to 230.81, 318.52 and 132.57

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Solution

The fourth proportional to 230.81, 318.52 and 132.57 is: 182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 318.52 = 132.57 : x
  2. Step 2: Convert to fraction form
    230.81/318.52 = 132.57/x
  3. Step 3: Cross multiply
    230.81x = 318.52 × 132.57
  4. Step 4: Simplify right side
    230.81x = 42,225.17
  5. Step 5: Solve for x
    x = 42,225.17/230.81
  6. Step 6: Final answer
    x = 182.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.