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Finding the Fourth Proportional to 296.26, 408.75 and 185.70

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Solution

The fourth proportional to 296.26, 408.75 and 185.70 is: 256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.26 : 408.75 = 185.70 : x
  2. Step 2: Convert to fraction form
    296.26/408.75 = 185.70/x
  3. Step 3: Cross multiply
    296.26x = 408.75 × 185.70
  4. Step 4: Simplify right side
    296.26x = 75,904.88
  5. Step 5: Solve for x
    x = 75,904.88/296.26
  6. Step 6: Final answer
    x = 256.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.