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Finding the Fourth Proportional to 185.49, 278.64 and 147.42

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Solution

The fourth proportional to 185.49, 278.64 and 147.42 is: 221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.49 : 278.64 = 147.42 : x
  2. Step 2: Convert to fraction form
    185.49/278.64 = 147.42/x
  3. Step 3: Cross multiply
    185.49x = 278.64 × 147.42
  4. Step 4: Simplify right side
    185.49x = 41,077.11
  5. Step 5: Solve for x
    x = 41,077.11/185.49
  6. Step 6: Final answer
    x = 221.45

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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.