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Finding the Fourth Proportional to 185.55, 278.34 and 77.32

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Solution

The fourth proportional to 185.55, 278.34 and 77.32 is: 115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.55 : 278.34 = 77.32 : x
  2. Step 2: Convert to fraction form
    185.55/278.34 = 77.32/x
  3. Step 3: Cross multiply
    185.55x = 278.34 × 77.32
  4. Step 4: Simplify right side
    185.55x = 21,521.25
  5. Step 5: Solve for x
    x = 21,521.25/185.55
  6. Step 6: Final answer
    x = 115.99

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Why These Related Problems?

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