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Finding the Fourth Proportional to 205.75, 284.15 and 177.69

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Solution

The fourth proportional to 205.75, 284.15 and 177.69 is: 245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 284.15 = 177.69 : x
  2. Step 2: Convert to fraction form
    205.75/284.15 = 177.69/x
  3. Step 3: Cross multiply
    205.75x = 284.15 × 177.69
  4. Step 4: Simplify right side
    205.75x = 50,490.61
  5. Step 5: Solve for x
    x = 50,490.61/205.75
  6. Step 6: Final answer
    x = 245.40

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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.