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Finding the Fourth Proportional to 206.01, 284.54 and 140.40

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Solution

The fourth proportional to 206.01, 284.54 and 140.40 is: 193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.01 : 284.54 = 140.40 : x
  2. Step 2: Convert to fraction form
    206.01/284.54 = 140.40/x
  3. Step 3: Cross multiply
    206.01x = 284.54 × 140.40
  4. Step 4: Simplify right side
    206.01x = 39,948.71
  5. Step 5: Solve for x
    x = 39,948.71/206.01
  6. Step 6: Final answer
    x = 193.92

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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.