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Finding the Fourth Proportional to 205.39, 307.89 and 102.61

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Solution

The fourth proportional to 205.39, 307.89 and 102.61 is: 153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.39 : 307.89 = 102.61 : x
  2. Step 2: Convert to fraction form
    205.39/307.89 = 102.61/x
  3. Step 3: Cross multiply
    205.39x = 307.89 × 102.61
  4. Step 4: Simplify right side
    205.39x = 31,592.59
  5. Step 5: Solve for x
    x = 31,592.59/205.39
  6. Step 6: Final answer
    x = 153.82

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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.