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Finding the Fourth Proportional to 216.42, 298.64 and 123.16

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Solution

The fourth proportional to 216.42, 298.64 and 123.16 is: 169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 298.64 = 123.16 : x
  2. Step 2: Convert to fraction form
    216.42/298.64 = 123.16/x
  3. Step 3: Cross multiply
    216.42x = 298.64 × 123.16
  4. Step 4: Simplify right side
    216.42x = 36,780.50
  5. Step 5: Solve for x
    x = 36,780.50/216.42
  6. Step 6: Final answer
    x = 169.95

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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.