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Finding the Fourth Proportional to 206.30, 284.65 and 140.78

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Solution

The fourth proportional to 206.30, 284.65 and 140.78 is: 194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.30 : 284.65 = 140.78 : x
  2. Step 2: Convert to fraction form
    206.30/284.65 = 140.78/x
  3. Step 3: Cross multiply
    206.30x = 284.65 × 140.78
  4. Step 4: Simplify right side
    206.30x = 40,071.25
  5. Step 5: Solve for x
    x = 40,071.25/206.30
  6. Step 6: Final answer
    x = 194.24

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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.