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Finding the Fourth Proportional to 184.11, 275.88 and 149.71

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Solution

The fourth proportional to 184.11, 275.88 and 149.71 is: 224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.11 : 275.88 = 149.71 : x
  2. Step 2: Convert to fraction form
    184.11/275.88 = 149.71/x
  3. Step 3: Cross multiply
    184.11x = 275.88 × 149.71
  4. Step 4: Simplify right side
    184.11x = 41,300.74
  5. Step 5: Solve for x
    x = 41,300.74/184.11
  6. Step 6: Final answer
    x = 224.32

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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.