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Finding the Fourth Proportional to 230.62, 318.29 and 160.64

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Solution

The fourth proportional to 230.62, 318.29 and 160.64 is: 221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.62 : 318.29 = 160.64 : x
  2. Step 2: Convert to fraction form
    230.62/318.29 = 160.64/x
  3. Step 3: Cross multiply
    230.62x = 318.29 × 160.64
  4. Step 4: Simplify right side
    230.62x = 51,130.11
  5. Step 5: Solve for x
    x = 51,130.11/230.62
  6. Step 6: Final answer
    x = 221.71

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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.