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Finding the Fourth Proportional to 185.28, 278.14 and 146.84

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Solution

The fourth proportional to 185.28, 278.14 and 146.84 is: 220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 278.14 = 146.84 : x
  2. Step 2: Convert to fraction form
    185.28/278.14 = 146.84/x
  3. Step 3: Cross multiply
    185.28x = 278.14 × 146.84
  4. Step 4: Simplify right side
    185.28x = 40,842.08
  5. Step 5: Solve for x
    x = 40,842.08/185.28
  6. Step 6: Final answer
    x = 220.43

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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.