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Finding the Fourth Proportional to 185.13, 277.65 and 77.00

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Solution

The fourth proportional to 185.13, 277.65 and 77.00 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.13 : 277.65 = 77.00 : x
  2. Step 2: Convert to fraction form
    185.13/277.65 = 77.00/x
  3. Step 3: Cross multiply
    185.13x = 277.65 × 77.00
  4. Step 4: Simplify right side
    185.13x = 21,377.66
  5. Step 5: Solve for x
    x = 21,377.66/185.13
  6. Step 6: Final answer
    x = 115.47

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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.