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Finding the Fourth Proportional to 250.96, 346.62 and 177.52

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Solution

The fourth proportional to 250.96, 346.62 and 177.52 is: 245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.96 : 346.62 = 177.52 : x
  2. Step 2: Convert to fraction form
    250.96/346.62 = 177.52/x
  3. Step 3: Cross multiply
    250.96x = 346.62 × 177.52
  4. Step 4: Simplify right side
    250.96x = 61,531.98
  5. Step 5: Solve for x
    x = 61,531.98/250.96
  6. Step 6: Final answer
    x = 245.19

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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.