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Finding the Fourth Proportional to 206.54, 285.36 and 175.78

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Solution

The fourth proportional to 206.54, 285.36 and 175.78 is: 242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.54 : 285.36 = 175.78 : x
  2. Step 2: Convert to fraction form
    206.54/285.36 = 175.78/x
  3. Step 3: Cross multiply
    206.54x = 285.36 × 175.78
  4. Step 4: Simplify right side
    206.54x = 50,160.58
  5. Step 5: Solve for x
    x = 50,160.58/206.54
  6. Step 6: Final answer
    x = 242.86

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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.