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Finding the Fourth Proportional to 295.68, 408.09 and 177.74

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Solution

The fourth proportional to 295.68, 408.09 and 177.74 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.68 : 408.09 = 177.74 : x
  2. Step 2: Convert to fraction form
    295.68/408.09 = 177.74/x
  3. Step 3: Cross multiply
    295.68x = 408.09 × 177.74
  4. Step 4: Simplify right side
    295.68x = 72,535.37
  5. Step 5: Solve for x
    x = 72,535.37/295.68
  6. Step 6: Final answer
    x = 245.32

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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.