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Finding the Fourth Proportional to 249.77, 374.25 and 189.02

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Solution

The fourth proportional to 249.77, 374.25 and 189.02 is: 283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.77 : 374.25 = 189.02 : x
  2. Step 2: Convert to fraction form
    249.77/374.25 = 189.02/x
  3. Step 3: Cross multiply
    249.77x = 374.25 × 189.02
  4. Step 4: Simplify right side
    249.77x = 70,742.38
  5. Step 5: Solve for x
    x = 70,742.38/249.77
  6. Step 6: Final answer
    x = 283.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.