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Finding the Fourth Proportional to 249.81, 374.29 and 177.32

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Solution

The fourth proportional to 249.81, 374.29 and 177.32 is: 265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.81 : 374.29 = 177.32 : x
  2. Step 2: Convert to fraction form
    249.81/374.29 = 177.32/x
  3. Step 3: Cross multiply
    249.81x = 374.29 × 177.32
  4. Step 4: Simplify right side
    249.81x = 66,369.10
  5. Step 5: Solve for x
    x = 66,369.10/249.81
  6. Step 6: Final answer
    x = 265.68

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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.