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Finding the Fourth Proportional to 185.40, 277.49 and 142.21

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Solution

The fourth proportional to 185.40, 277.49 and 142.21 is: 212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 277.49 = 142.21 : x
  2. Step 2: Convert to fraction form
    185.40/277.49 = 142.21/x
  3. Step 3: Cross multiply
    185.40x = 277.49 × 142.21
  4. Step 4: Simplify right side
    185.40x = 39,461.85
  5. Step 5: Solve for x
    x = 39,461.85/185.40
  6. Step 6: Final answer
    x = 212.85

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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.