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Finding the Fourth Proportional to 216.03, 298.10 and 122.77

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Solution

The fourth proportional to 216.03, 298.10 and 122.77 is: 169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.03 : 298.10 = 122.77 : x
  2. Step 2: Convert to fraction form
    216.03/298.10 = 122.77/x
  3. Step 3: Cross multiply
    216.03x = 298.10 × 122.77
  4. Step 4: Simplify right side
    216.03x = 36,597.74
  5. Step 5: Solve for x
    x = 36,597.74/216.03
  6. Step 6: Final answer
    x = 169.41

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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.