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Finding the Fourth Proportional to 185.77, 278.46 and 63.99

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Solution

The fourth proportional to 185.77, 278.46 and 63.99 is: 95.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.77 : 278.46 = 63.99 : x
  2. Step 2: Convert to fraction form
    185.77/278.46 = 63.99/x
  3. Step 3: Cross multiply
    185.77x = 278.46 × 63.99
  4. Step 4: Simplify right side
    185.77x = 17,818.66
  5. Step 5: Solve for x
    x = 17,818.66/185.77
  6. Step 6: Final answer
    x = 95.92

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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.