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Finding the Fourth Proportional to 223.41, 334.31 and 184.53

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Solution

The fourth proportional to 223.41, 334.31 and 184.53 is: 276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.41 : 334.31 = 184.53 : x
  2. Step 2: Convert to fraction form
    223.41/334.31 = 184.53/x
  3. Step 3: Cross multiply
    223.41x = 334.31 × 184.53
  4. Step 4: Simplify right side
    223.41x = 61,689.30
  5. Step 5: Solve for x
    x = 61,689.30/223.41
  6. Step 6: Final answer
    x = 276.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.