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Finding the Fourth Proportional to 216.41, 298.67 and 127.85

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Solution

The fourth proportional to 216.41, 298.67 and 127.85 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.41 : 298.67 = 127.85 : x
  2. Step 2: Convert to fraction form
    216.41/298.67 = 127.85/x
  3. Step 3: Cross multiply
    216.41x = 298.67 × 127.85
  4. Step 4: Simplify right side
    216.41x = 38,182.83
  5. Step 5: Solve for x
    x = 38,182.83/216.41
  6. Step 6: Final answer
    x = 176.44

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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.