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Finding the Fourth Proportional to 345.90, 518.84 and 140.42

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Solution

The fourth proportional to 345.90, 518.84 and 140.42 is: 210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.90 : 518.84 = 140.42 : x
  2. Step 2: Convert to fraction form
    345.90/518.84 = 140.42/x
  3. Step 3: Cross multiply
    345.90x = 518.84 × 140.42
  4. Step 4: Simplify right side
    345.90x = 72,853.27
  5. Step 5: Solve for x
    x = 72,853.27/345.90
  6. Step 6: Final answer
    x = 210.62

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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.