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Finding the Fourth Proportional to 185.86, 278.77 and 64.11

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Solution

The fourth proportional to 185.86, 278.77 and 64.11 is: 96.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.86 : 278.77 = 64.11 : x
  2. Step 2: Convert to fraction form
    185.86/278.77 = 64.11/x
  3. Step 3: Cross multiply
    185.86x = 278.77 × 64.11
  4. Step 4: Simplify right side
    185.86x = 17,872.48
  5. Step 5: Solve for x
    x = 17,872.48/185.86
  6. Step 6: Final answer
    x = 96.16

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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.