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Finding the Fourth Proportional to 206.57, 284.88 and 136.56

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Solution

The fourth proportional to 206.57, 284.88 and 136.56 is: 188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 284.88 = 136.56 : x
  2. Step 2: Convert to fraction form
    206.57/284.88 = 136.56/x
  3. Step 3: Cross multiply
    206.57x = 284.88 × 136.56
  4. Step 4: Simplify right side
    206.57x = 38,901.79
  5. Step 5: Solve for x
    x = 38,901.79/206.57
  6. Step 6: Final answer
    x = 188.32

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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.