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Finding the Fourth Proportional to 216.46, 298.74 and 123.22

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Solution

The fourth proportional to 216.46, 298.74 and 123.22 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.46 : 298.74 = 123.22 : x
  2. Step 2: Convert to fraction form
    216.46/298.74 = 123.22/x
  3. Step 3: Cross multiply
    216.46x = 298.74 × 123.22
  4. Step 4: Simplify right side
    216.46x = 36,810.74
  5. Step 5: Solve for x
    x = 36,810.74/216.46
  6. Step 6: Final answer
    x = 170.06

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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.