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Finding the Fourth Proportional to 149.80, 224.71 and 41.59

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Solution

The fourth proportional to 149.80, 224.71 and 41.59 is: 62.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.80 : 224.71 = 41.59 : x
  2. Step 2: Convert to fraction form
    149.80/224.71 = 41.59/x
  3. Step 3: Cross multiply
    149.80x = 224.71 × 41.59
  4. Step 4: Simplify right side
    149.80x = 9,345.69
  5. Step 5: Solve for x
    x = 9,345.69/149.80
  6. Step 6: Final answer
    x = 62.39

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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.