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Finding the Fourth Proportional to 296.07, 443.77 and 149.59

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Solution

The fourth proportional to 296.07, 443.77 and 149.59 is: 224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.07 : 443.77 = 149.59 : x
  2. Step 2: Convert to fraction form
    296.07/443.77 = 149.59/x
  3. Step 3: Cross multiply
    296.07x = 443.77 × 149.59
  4. Step 4: Simplify right side
    296.07x = 66,380.59
  5. Step 5: Solve for x
    x = 66,380.59/296.07
  6. Step 6: Final answer
    x = 224.21

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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.