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Finding the Fourth Proportional to 220.94, 304.89 and 127.71

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Solution

The fourth proportional to 220.94, 304.89 and 127.71 is: 176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.94 : 304.89 = 127.71 : x
  2. Step 2: Convert to fraction form
    220.94/304.89 = 127.71/x
  3. Step 3: Cross multiply
    220.94x = 304.89 × 127.71
  4. Step 4: Simplify right side
    220.94x = 38,937.50
  5. Step 5: Solve for x
    x = 38,937.50/220.94
  6. Step 6: Final answer
    x = 176.24

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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.