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Finding the Fourth Proportional to 185.24, 278.04 and 127.55

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Solution

The fourth proportional to 185.24, 278.04 and 127.55 is: 191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.24 : 278.04 = 127.55 : x
  2. Step 2: Convert to fraction form
    185.24/278.04 = 127.55/x
  3. Step 3: Cross multiply
    185.24x = 278.04 × 127.55
  4. Step 4: Simplify right side
    185.24x = 35,462.61
  5. Step 5: Solve for x
    x = 35,462.61/185.24
  6. Step 6: Final answer
    x = 191.45

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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.