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Finding the Fourth Proportional to 310.52, 428.49 and 184.46

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Solution

The fourth proportional to 310.52, 428.49 and 184.46 is: 254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.52 : 428.49 = 184.46 : x
  2. Step 2: Convert to fraction form
    310.52/428.49 = 184.46/x
  3. Step 3: Cross multiply
    310.52x = 428.49 × 184.46
  4. Step 4: Simplify right side
    310.52x = 79,037.12
  5. Step 5: Solve for x
    x = 79,037.12/310.52
  6. Step 6: Final answer
    x = 254.54

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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.