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Finding the Fourth Proportional to 249.34, 343.85 and 156.05

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Solution

The fourth proportional to 249.34, 343.85 and 156.05 is: 215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.34 : 343.85 = 156.05 : x
  2. Step 2: Convert to fraction form
    249.34/343.85 = 156.05/x
  3. Step 3: Cross multiply
    249.34x = 343.85 × 156.05
  4. Step 4: Simplify right side
    249.34x = 53,659.04
  5. Step 5: Solve for x
    x = 53,659.04/249.34
  6. Step 6: Final answer
    x = 215.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.