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Finding the Fourth Proportional to 249.63, 344.38 and 176.05

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Solution

The fourth proportional to 249.63, 344.38 and 176.05 is: 242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.63 : 344.38 = 176.05 : x
  2. Step 2: Convert to fraction form
    249.63/344.38 = 176.05/x
  3. Step 3: Cross multiply
    249.63x = 344.38 × 176.05
  4. Step 4: Simplify right side
    249.63x = 60,628.10
  5. Step 5: Solve for x
    x = 60,628.10/249.63
  6. Step 6: Final answer
    x = 242.87

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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.