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Finding the Fourth Proportional to 206.01, 284.16 and 128.38

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Solution

The fourth proportional to 206.01, 284.16 and 128.38 is: 177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.01 : 284.16 = 128.38 : x
  2. Step 2: Convert to fraction form
    206.01/284.16 = 128.38/x
  3. Step 3: Cross multiply
    206.01x = 284.16 × 128.38
  4. Step 4: Simplify right side
    206.01x = 36,480.46
  5. Step 5: Solve for x
    x = 36,480.46/206.01
  6. Step 6: Final answer
    x = 177.08

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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.