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Finding the Fourth Proportional to 185.30, 277.75 and 82.50

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Solution

The fourth proportional to 185.30, 277.75 and 82.50 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.30 : 277.75 = 82.50 : x
  2. Step 2: Convert to fraction form
    185.30/277.75 = 82.50/x
  3. Step 3: Cross multiply
    185.30x = 277.75 × 82.50
  4. Step 4: Simplify right side
    185.30x = 22,914.17
  5. Step 5: Solve for x
    x = 22,914.17/185.30
  6. Step 6: Final answer
    x = 123.66

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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.