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Finding the Fourth Proportional to 206.42, 284.88 and 135.58

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Solution

The fourth proportional to 206.42, 284.88 and 135.58 is: 187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.42 : 284.88 = 135.58 : x
  2. Step 2: Convert to fraction form
    206.42/284.88 = 135.58/x
  3. Step 3: Cross multiply
    206.42x = 284.88 × 135.58
  4. Step 4: Simplify right side
    206.42x = 38,624.03
  5. Step 5: Solve for x
    x = 38,624.03/206.42
  6. Step 6: Final answer
    x = 187.12

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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.