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Finding the Fourth Proportional to 186.61, 280.01 and 77.00

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Solution

The fourth proportional to 186.61, 280.01 and 77.00 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.61 : 280.01 = 77.00 : x
  2. Step 2: Convert to fraction form
    186.61/280.01 = 77.00/x
  3. Step 3: Cross multiply
    186.61x = 280.01 × 77.00
  4. Step 4: Simplify right side
    186.61x = 21,560.74
  5. Step 5: Solve for x
    x = 21,560.74/186.61
  6. Step 6: Final answer
    x = 115.54

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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.