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Finding the Fourth Proportional to 206.04, 284.24 and 136.22

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Solution

The fourth proportional to 206.04, 284.24 and 136.22 is: 187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.04 : 284.24 = 136.22 : x
  2. Step 2: Convert to fraction form
    206.04/284.24 = 136.22/x
  3. Step 3: Cross multiply
    206.04x = 284.24 × 136.22
  4. Step 4: Simplify right side
    206.04x = 38,719.17
  5. Step 5: Solve for x
    x = 38,719.17/206.04
  6. Step 6: Final answer
    x = 187.92

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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.