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Finding the Fourth Proportional to 185.31, 279.03 and 131.58

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Solution

The fourth proportional to 185.31, 279.03 and 131.58 is: 198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.31 : 279.03 = 131.58 : x
  2. Step 2: Convert to fraction form
    185.31/279.03 = 131.58/x
  3. Step 3: Cross multiply
    185.31x = 279.03 × 131.58
  4. Step 4: Simplify right side
    185.31x = 36,714.77
  5. Step 5: Solve for x
    x = 36,714.77/185.31
  6. Step 6: Final answer
    x = 198.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.