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Finding the Fourth Proportional to 185.76, 278.38 and 103.42

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Solution

The fourth proportional to 185.76, 278.38 and 103.42 is: 154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 278.38 = 103.42 : x
  2. Step 2: Convert to fraction form
    185.76/278.38 = 103.42/x
  3. Step 3: Cross multiply
    185.76x = 278.38 × 103.42
  4. Step 4: Simplify right side
    185.76x = 28,790.06
  5. Step 5: Solve for x
    x = 28,790.06/185.76
  6. Step 6: Final answer
    x = 154.99

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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.