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Finding the Fourth Proportional to 230.65, 318.13 and 160.84

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Solution

The fourth proportional to 230.65, 318.13 and 160.84 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.65 : 318.13 = 160.84 : x
  2. Step 2: Convert to fraction form
    230.65/318.13 = 160.84/x
  3. Step 3: Cross multiply
    230.65x = 318.13 × 160.84
  4. Step 4: Simplify right side
    230.65x = 51,166.24
  5. Step 5: Solve for x
    x = 51,166.24/230.65
  6. Step 6: Final answer
    x = 221.84

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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.