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Finding the Fourth Proportional to 334.90, 502.01 and 140.05

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Solution

The fourth proportional to 334.90, 502.01 and 140.05 is: 209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.90 : 502.01 = 140.05 : x
  2. Step 2: Convert to fraction form
    334.90/502.01 = 140.05/x
  3. Step 3: Cross multiply
    334.90x = 502.01 × 140.05
  4. Step 4: Simplify right side
    334.90x = 70,306.50
  5. Step 5: Solve for x
    x = 70,306.50/334.90
  6. Step 6: Final answer
    x = 209.93

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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.