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Finding the Fourth Proportional to 205.68, 284.52 and 167.76

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Solution

The fourth proportional to 205.68, 284.52 and 167.76 is: 232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.68 : 284.52 = 167.76 : x
  2. Step 2: Convert to fraction form
    205.68/284.52 = 167.76/x
  3. Step 3: Cross multiply
    205.68x = 284.52 × 167.76
  4. Step 4: Simplify right side
    205.68x = 47,731.08
  5. Step 5: Solve for x
    x = 47,731.08/205.68
  6. Step 6: Final answer
    x = 232.06

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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.