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Finding the Fourth Proportional to 221.74, 306 and 123.50

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Solution

The fourth proportional to 221.74, 306 and 123.50 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.74 : 306 = 123.50 : x
  2. Step 2: Convert to fraction form
    221.74/306 = 123.50/x
  3. Step 3: Cross multiply
    221.74x = 306 × 123.50
  4. Step 4: Simplify right side
    221.74x = 37,791.77
  5. Step 5: Solve for x
    x = 37,791.77/221.74
  6. Step 6: Final answer
    x = 170.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.