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Finding the Fourth Proportional to 220.73, 304.57 and 127.47

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Solution

The fourth proportional to 220.73, 304.57 and 127.47 is: 175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.73 : 304.57 = 127.47 : x
  2. Step 2: Convert to fraction form
    220.73/304.57 = 127.47/x
  3. Step 3: Cross multiply
    220.73x = 304.57 × 127.47
  4. Step 4: Simplify right side
    220.73x = 38,823.54
  5. Step 5: Solve for x
    x = 38,823.54/220.73
  6. Step 6: Final answer
    x = 175.89

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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.