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Finding the Fourth Proportional to 221.77, 306.03 and 123.53

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Solution

The fourth proportional to 221.77, 306.03 and 123.53 is: 170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.77 : 306.03 = 123.53 : x
  2. Step 2: Convert to fraction form
    221.77/306.03 = 123.53/x
  3. Step 3: Cross multiply
    221.77x = 306.03 × 123.53
  4. Step 4: Simplify right side
    221.77x = 37,802.82
  5. Step 5: Solve for x
    x = 37,802.82/221.77
  6. Step 6: Final answer
    x = 170.46

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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.