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Finding the Fourth Proportional to 249, 343.67 and 144.16

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Solution

The fourth proportional to 249, 343.67 and 144.16 is: 198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    249 : 343.67 = 144.16 : x
  2. Step 2: Convert to fraction form
    249/343.67 = 144.16/x
  3. Step 3: Cross multiply
    249x = 343.67 × 144.16
  4. Step 4: Simplify right side
    249x = 49,541.03
  5. Step 5: Solve for x
    x = 49,541.03/249
  6. Step 6: Final answer
    x = 198.96

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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.