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Finding the Fourth Proportional to 311.56, 429.98 and 187.24

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Solution

The fourth proportional to 311.56, 429.98 and 187.24 is: 258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.56 : 429.98 = 187.24 : x
  2. Step 2: Convert to fraction form
    311.56/429.98 = 187.24/x
  3. Step 3: Cross multiply
    311.56x = 429.98 × 187.24
  4. Step 4: Simplify right side
    311.56x = 80,509.46
  5. Step 5: Solve for x
    x = 80,509.46/311.56
  6. Step 6: Final answer
    x = 258.41

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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.