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Finding the Fourth Proportional to 263.11, 362.82 and 177.77

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Solution

The fourth proportional to 263.11, 362.82 and 177.77 is: 245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.11 : 362.82 = 177.77 : x
  2. Step 2: Convert to fraction form
    263.11/362.82 = 177.77/x
  3. Step 3: Cross multiply
    263.11x = 362.82 × 177.77
  4. Step 4: Simplify right side
    263.11x = 64,497.62
  5. Step 5: Solve for x
    x = 64,497.62/263.11
  6. Step 6: Final answer
    x = 245.14

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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.