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Finding the Fourth Proportional to 205.23, 282.90 and 160.87

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Solution

The fourth proportional to 205.23, 282.90 and 160.87 is: 221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.23 : 282.90 = 160.87 : x
  2. Step 2: Convert to fraction form
    205.23/282.90 = 160.87/x
  3. Step 3: Cross multiply
    205.23x = 282.90 × 160.87
  4. Step 4: Simplify right side
    205.23x = 45,510.55
  5. Step 5: Solve for x
    x = 45,510.55/205.23
  6. Step 6: Final answer
    x = 221.76

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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.