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Finding the Fourth Proportional to 230.42, 317.96 and 132.14

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Solution

The fourth proportional to 230.42, 317.96 and 132.14 is: 182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.42 : 317.96 = 132.14 : x
  2. Step 2: Convert to fraction form
    230.42/317.96 = 132.14/x
  3. Step 3: Cross multiply
    230.42x = 317.96 × 132.14
  4. Step 4: Simplify right side
    230.42x = 42,015.23
  5. Step 5: Solve for x
    x = 42,015.23/230.42
  6. Step 6: Final answer
    x = 182.34

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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.