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Finding the Fourth Proportional to 296.21, 408.78 and 185.75

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Solution

The fourth proportional to 296.21, 408.78 and 185.75 is: 256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.21 : 408.78 = 185.75 : x
  2. Step 2: Convert to fraction form
    296.21/408.78 = 185.75/x
  3. Step 3: Cross multiply
    296.21x = 408.78 × 185.75
  4. Step 4: Simplify right side
    296.21x = 75,931.21
  5. Step 5: Solve for x
    x = 75,931.21/296.21
  6. Step 6: Final answer
    x = 256.34

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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.