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Finding the Fourth Proportional to 230.42, 318.39 and 160.76

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Solution

The fourth proportional to 230.42, 318.39 and 160.76 is: 222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.42 : 318.39 = 160.76 : x
  2. Step 2: Convert to fraction form
    230.42/318.39 = 160.76/x
  3. Step 3: Cross multiply
    230.42x = 318.39 × 160.76
  4. Step 4: Simplify right side
    230.42x = 51,184.38
  5. Step 5: Solve for x
    x = 51,184.38/230.42
  6. Step 6: Final answer
    x = 222.14

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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.