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Finding the Fourth Proportional to 296.10, 408.66 and 178.08

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Solution

The fourth proportional to 296.10, 408.66 and 178.08 is: 245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.10 : 408.66 = 178.08 : x
  2. Step 2: Convert to fraction form
    296.10/408.66 = 178.08/x
  3. Step 3: Cross multiply
    296.10x = 408.66 × 178.08
  4. Step 4: Simplify right side
    296.10x = 72,774.17
  5. Step 5: Solve for x
    x = 72,774.17/296.10
  6. Step 6: Final answer
    x = 245.78

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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.