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Finding the Fourth Proportional to 334.80, 502.14 and 118.37

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Solution

The fourth proportional to 334.80, 502.14 and 118.37 is: 177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.80 : 502.14 = 118.37 : x
  2. Step 2: Convert to fraction form
    334.80/502.14 = 118.37/x
  3. Step 3: Cross multiply
    334.80x = 502.14 × 118.37
  4. Step 4: Simplify right side
    334.80x = 59,435.80
  5. Step 5: Solve for x
    x = 59,435.80/334.80
  6. Step 6: Final answer
    x = 177.53

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