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Finding the Fourth Proportional to 216.22, 322.46 and 183.92

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Solution

The fourth proportional to 216.22, 322.46 and 183.92 is: 274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.22 : 322.46 = 183.92 : x
  2. Step 2: Convert to fraction form
    216.22/322.46 = 183.92/x
  3. Step 3: Cross multiply
    216.22x = 322.46 × 183.92
  4. Step 4: Simplify right side
    216.22x = 59,306.84
  5. Step 5: Solve for x
    x = 59,306.84/216.22
  6. Step 6: Final answer
    x = 274.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.