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Finding the Fourth Proportional to 216.59, 323.02 and 184.30

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Solution

The fourth proportional to 216.59, 323.02 and 184.30 is: 274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.59 : 323.02 = 184.30 : x
  2. Step 2: Convert to fraction form
    216.59/323.02 = 184.30/x
  3. Step 3: Cross multiply
    216.59x = 323.02 × 184.30
  4. Step 4: Simplify right side
    216.59x = 59,530.97
  5. Step 5: Solve for x
    x = 59,530.97/216.59
  6. Step 6: Final answer
    x = 274.86

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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.