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Finding the Fourth Proportional to 311.24, 429.53 and 178.49

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Solution

The fourth proportional to 311.24, 429.53 and 178.49 is: 246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 429.53 = 178.49 : x
  2. Step 2: Convert to fraction form
    311.24/429.53 = 178.49/x
  3. Step 3: Cross multiply
    311.24x = 429.53 × 178.49
  4. Step 4: Simplify right side
    311.24x = 76,663.77
  5. Step 5: Solve for x
    x = 76,663.77/311.24
  6. Step 6: Final answer
    x = 246.32

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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.