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Finding the Fourth Proportional to 252.99, 379.80 and 183.77

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Solution

The fourth proportional to 252.99, 379.80 and 183.77 is: 275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.99 : 379.80 = 183.77 : x
  2. Step 2: Convert to fraction form
    252.99/379.80 = 183.77/x
  3. Step 3: Cross multiply
    252.99x = 379.80 × 183.77
  4. Step 4: Simplify right side
    252.99x = 69,793.95
  5. Step 5: Solve for x
    x = 69,793.95/252.99
  6. Step 6: Final answer
    x = 275.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.