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Finding the Fourth Proportional to 230.45, 317.95 and 132.14

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Solution

The fourth proportional to 230.45, 317.95 and 132.14 is: 182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.45 : 317.95 = 132.14 : x
  2. Step 2: Convert to fraction form
    230.45/317.95 = 132.14/x
  3. Step 3: Cross multiply
    230.45x = 317.95 × 132.14
  4. Step 4: Simplify right side
    230.45x = 42,013.91
  5. Step 5: Solve for x
    x = 42,013.91/230.45
  6. Step 6: Final answer
    x = 182.31

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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.