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Finding the Fourth Proportional to 221.84, 306.14 and 123.60

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Solution

The fourth proportional to 221.84, 306.14 and 123.60 is: 170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.84 : 306.14 = 123.60 : x
  2. Step 2: Convert to fraction form
    221.84/306.14 = 123.60/x
  3. Step 3: Cross multiply
    221.84x = 306.14 × 123.60
  4. Step 4: Simplify right side
    221.84x = 37,838.29
  5. Step 5: Solve for x
    x = 37,838.29/221.84
  6. Step 6: Final answer
    x = 170.57

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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.