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Finding the Fourth Proportional to 295.77, 408.17 and 177.76

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Solution

The fourth proportional to 295.77, 408.17 and 177.76 is: 245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.77 : 408.17 = 177.76 : x
  2. Step 2: Convert to fraction form
    295.77/408.17 = 177.76/x
  3. Step 3: Cross multiply
    295.77x = 408.17 × 177.76
  4. Step 4: Simplify right side
    295.77x = 72,556.30
  5. Step 5: Solve for x
    x = 72,556.30/295.77
  6. Step 6: Final answer
    x = 245.31

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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.