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Finding the Fourth Proportional to 295.95, 408.65 and 185.49

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Solution

The fourth proportional to 295.95, 408.65 and 185.49 is: 256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.95 : 408.65 = 185.49 : x
  2. Step 2: Convert to fraction form
    295.95/408.65 = 185.49/x
  3. Step 3: Cross multiply
    295.95x = 408.65 × 185.49
  4. Step 4: Simplify right side
    295.95x = 75,799.56
  5. Step 5: Solve for x
    x = 75,799.56/295.95
  6. Step 6: Final answer
    x = 256.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.