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Finding the Fourth Proportional to 202.52, 278.86 and 177.82

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Solution

The fourth proportional to 202.52, 278.86 and 177.82 is: 244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.52 : 278.86 = 177.82 : x
  2. Step 2: Convert to fraction form
    202.52/278.86 = 177.82/x
  3. Step 3: Cross multiply
    202.52x = 278.86 × 177.82
  4. Step 4: Simplify right side
    202.52x = 49,586.89
  5. Step 5: Solve for x
    x = 49,586.89/202.52
  6. Step 6: Final answer
    x = 244.85

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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.