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Finding the Fourth Proportional to 249.84, 344.82 and 156.66

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Solution

The fourth proportional to 249.84, 344.82 and 156.66 is: 216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 344.82 = 156.66 : x
  2. Step 2: Convert to fraction form
    249.84/344.82 = 156.66/x
  3. Step 3: Cross multiply
    249.84x = 344.82 × 156.66
  4. Step 4: Simplify right side
    249.84x = 54,019.85
  5. Step 5: Solve for x
    x = 54,019.85/249.84
  6. Step 6: Final answer
    x = 216.22

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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.