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Finding the Fourth Proportional to 206.29, 284.80 and 153.90

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Solution

The fourth proportional to 206.29, 284.80 and 153.90 is: 212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.29 : 284.80 = 153.90 : x
  2. Step 2: Convert to fraction form
    206.29/284.80 = 153.90/x
  3. Step 3: Cross multiply
    206.29x = 284.80 × 153.90
  4. Step 4: Simplify right side
    206.29x = 43,829.30
  5. Step 5: Solve for x
    x = 43,829.30/206.29
  6. Step 6: Final answer
    x = 212.46

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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.