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Finding the Fourth Proportional to 249.60, 374.16 and 158

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Solution

The fourth proportional to 249.60, 374.16 and 158 is: 236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.60 : 374.16 = 158 : x
  2. Step 2: Convert to fraction form
    249.60/374.16 = 158/x
  3. Step 3: Cross multiply
    249.60x = 374.16 × 158
  4. Step 4: Simplify right side
    249.60x = 59,117.28
  5. Step 5: Solve for x
    x = 59,117.28/249.60
  6. Step 6: Final answer
    x = 236.85

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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.