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Finding the Fourth Proportional to 185.29, 277.83 and 147.02

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Solution

The fourth proportional to 185.29, 277.83 and 147.02 is: 220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.29 : 277.83 = 147.02 : x
  2. Step 2: Convert to fraction form
    185.29/277.83 = 147.02/x
  3. Step 3: Cross multiply
    185.29x = 277.83 × 147.02
  4. Step 4: Simplify right side
    185.29x = 40,845.18
  5. Step 5: Solve for x
    x = 40,845.18/185.29
  6. Step 6: Final answer
    x = 220.44

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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.