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Finding the Fourth Proportional to 216.35, 298.59 and 123.10

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Solution

The fourth proportional to 216.35, 298.59 and 123.10 is: 169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.35 : 298.59 = 123.10 : x
  2. Step 2: Convert to fraction form
    216.35/298.59 = 123.10/x
  3. Step 3: Cross multiply
    216.35x = 298.59 × 123.10
  4. Step 4: Simplify right side
    216.35x = 36,754.32
  5. Step 5: Solve for x
    x = 36,754.32/216.35
  6. Step 6: Final answer
    x = 169.88

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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.