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Finding the Fourth Proportional to 334.88, 502.71 and 198.05

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Solution

The fourth proportional to 334.88, 502.71 and 198.05 is: 297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.88 : 502.71 = 198.05 : x
  2. Step 2: Convert to fraction form
    334.88/502.71 = 198.05/x
  3. Step 3: Cross multiply
    334.88x = 502.71 × 198.05
  4. Step 4: Simplify right side
    334.88x = 99,558.46
  5. Step 5: Solve for x
    x = 99,558.46/334.88
  6. Step 6: Final answer
    x = 297.29

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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.