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Finding the Fourth Proportional to 296.17, 443.64 and 149.71

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Solution

The fourth proportional to 296.17, 443.64 and 149.71 is: 224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.17 : 443.64 = 149.71 : x
  2. Step 2: Convert to fraction form
    296.17/443.64 = 149.71/x
  3. Step 3: Cross multiply
    296.17x = 443.64 × 149.71
  4. Step 4: Simplify right side
    296.17x = 66,416.24
  5. Step 5: Solve for x
    x = 66,416.24/296.17
  6. Step 6: Final answer
    x = 224.25

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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.