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Finding the Fourth Proportional to 185.82, 278.57 and 99.11

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Solution

The fourth proportional to 185.82, 278.57 and 99.11 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 278.57 = 99.11 : x
  2. Step 2: Convert to fraction form
    185.82/278.57 = 99.11/x
  3. Step 3: Cross multiply
    185.82x = 278.57 × 99.11
  4. Step 4: Simplify right side
    185.82x = 27,609.07
  5. Step 5: Solve for x
    x = 27,609.07/185.82
  6. Step 6: Final answer
    x = 148.58

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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.