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Finding the Fourth Proportional to 249.96, 344.90 and 145.06

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Solution

The fourth proportional to 249.96, 344.90 and 145.06 is: 200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.96 : 344.90 = 145.06 : x
  2. Step 2: Convert to fraction form
    249.96/344.90 = 145.06/x
  3. Step 3: Cross multiply
    249.96x = 344.90 × 145.06
  4. Step 4: Simplify right side
    249.96x = 50,031.19
  5. Step 5: Solve for x
    x = 50,031.19/249.96
  6. Step 6: Final answer
    x = 200.16

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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.