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Finding the Fourth Proportional to 202.19, 278.84 and 177.57

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Solution

The fourth proportional to 202.19, 278.84 and 177.57 is: 244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.19 : 278.84 = 177.57 : x
  2. Step 2: Convert to fraction form
    202.19/278.84 = 177.57/x
  3. Step 3: Cross multiply
    202.19x = 278.84 × 177.57
  4. Step 4: Simplify right side
    202.19x = 49,512.73
  5. Step 5: Solve for x
    x = 49,512.73/202.19
  6. Step 6: Final answer
    x = 244.89

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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.