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Finding the Fourth Proportional to 230.43, 317.98 and 132.18

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Solution

The fourth proportional to 230.43, 317.98 and 132.18 is: 182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.43 : 317.98 = 132.18 : x
  2. Step 2: Convert to fraction form
    230.43/317.98 = 132.18/x
  3. Step 3: Cross multiply
    230.43x = 317.98 × 132.18
  4. Step 4: Simplify right side
    230.43x = 42,030.61
  5. Step 5: Solve for x
    x = 42,030.61/230.43
  6. Step 6: Final answer
    x = 182.40

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