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Finding the Fourth Proportional to 204.29, 306.61 and 101.69

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Solution

The fourth proportional to 204.29, 306.61 and 101.69 is: 152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.29 : 306.61 = 101.69 : x
  2. Step 2: Convert to fraction form
    204.29/306.61 = 101.69/x
  3. Step 3: Cross multiply
    204.29x = 306.61 × 101.69
  4. Step 4: Simplify right side
    204.29x = 31,179.17
  5. Step 5: Solve for x
    x = 31,179.17/204.29
  6. Step 6: Final answer
    x = 152.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.