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Finding the Fourth Proportional to 249.73, 374.85 and 152.34

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Solution

The fourth proportional to 249.73, 374.85 and 152.34 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.73 : 374.85 = 152.34 : x
  2. Step 2: Convert to fraction form
    249.73/374.85 = 152.34/x
  3. Step 3: Cross multiply
    249.73x = 374.85 × 152.34
  4. Step 4: Simplify right side
    249.73x = 57,103.24
  5. Step 5: Solve for x
    x = 57,103.24/249.73
  6. Step 6: Final answer
    x = 228.66

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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.