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Finding the Fourth Proportional to 204.31, 306.06 and 95.98

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Solution

The fourth proportional to 204.31, 306.06 and 95.98 is: 143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.31 : 306.06 = 95.98 : x
  2. Step 2: Convert to fraction form
    204.31/306.06 = 95.98/x
  3. Step 3: Cross multiply
    204.31x = 306.06 × 95.98
  4. Step 4: Simplify right side
    204.31x = 29,374.11
  5. Step 5: Solve for x
    x = 29,374.11/204.31
  6. Step 6: Final answer
    x = 143.77

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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.