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Finding the Fourth Proportional to 202.32, 278.64 and 177.84

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Solution

The fourth proportional to 202.32, 278.64 and 177.84 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 278.64 = 177.84 : x
  2. Step 2: Convert to fraction form
    202.32/278.64 = 177.84/x
  3. Step 3: Cross multiply
    202.32x = 278.64 × 177.84
  4. Step 4: Simplify right side
    202.32x = 49,553.34
  5. Step 5: Solve for x
    x = 49,553.34/202.32
  6. Step 6: Final answer
    x = 244.93

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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.