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Finding the Fourth Proportional to 216.62, 298.88 and 123.34

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Solution

The fourth proportional to 216.62, 298.88 and 123.34 is: 170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.62 : 298.88 = 123.34 : x
  2. Step 2: Convert to fraction form
    216.62/298.88 = 123.34/x
  3. Step 3: Cross multiply
    216.62x = 298.88 × 123.34
  4. Step 4: Simplify right side
    216.62x = 36,863.86
  5. Step 5: Solve for x
    x = 36,863.86/216.62
  6. Step 6: Final answer
    x = 170.18

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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.