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Finding the Fourth Proportional to 185.28, 277.68 and 82.50

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Solution

The fourth proportional to 185.28, 277.68 and 82.50 is: 123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 277.68 = 82.50 : x
  2. Step 2: Convert to fraction form
    185.28/277.68 = 82.50/x
  3. Step 3: Cross multiply
    185.28x = 277.68 × 82.50
  4. Step 4: Simplify right side
    185.28x = 22,908.60
  5. Step 5: Solve for x
    x = 22,908.60/185.28
  6. Step 6: Final answer
    x = 123.64

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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.