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Finding the Fourth Proportional to 334.63, 502.14 and 180.55

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Solution

The fourth proportional to 334.63, 502.14 and 180.55 is: 270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.63 : 502.14 = 180.55 : x
  2. Step 2: Convert to fraction form
    334.63/502.14 = 180.55/x
  3. Step 3: Cross multiply
    334.63x = 502.14 × 180.55
  4. Step 4: Simplify right side
    334.63x = 90,661.73
  5. Step 5: Solve for x
    x = 90,661.73/334.63
  6. Step 6: Final answer
    x = 270.93

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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.