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Finding the Fourth Proportional to 216.40, 298.61 and 123.14

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Solution

The fourth proportional to 216.40, 298.61 and 123.14 is: 169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.40 : 298.61 = 123.14 : x
  2. Step 2: Convert to fraction form
    216.40/298.61 = 123.14/x
  3. Step 3: Cross multiply
    216.40x = 298.61 × 123.14
  4. Step 4: Simplify right side
    216.40x = 36,769.34
  5. Step 5: Solve for x
    x = 36,769.34/216.40
  6. Step 6: Final answer
    x = 169.91

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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.