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Finding the Fourth Proportional to 296.16, 408.63 and 178.11

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Solution

The fourth proportional to 296.16, 408.63 and 178.11 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.16 : 408.63 = 178.11 : x
  2. Step 2: Convert to fraction form
    296.16/408.63 = 178.11/x
  3. Step 3: Cross multiply
    296.16x = 408.63 × 178.11
  4. Step 4: Simplify right side
    296.16x = 72,780.95
  5. Step 5: Solve for x
    x = 72,780.95/296.16
  6. Step 6: Final answer
    x = 245.75

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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.