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Finding the Fourth Proportional to 345.57, 518.34 and 140.16

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Solution

The fourth proportional to 345.57, 518.34 and 140.16 is: 210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.57 : 518.34 = 140.16 : x
  2. Step 2: Convert to fraction form
    345.57/518.34 = 140.16/x
  3. Step 3: Cross multiply
    345.57x = 518.34 × 140.16
  4. Step 4: Simplify right side
    345.57x = 72,648.74
  5. Step 5: Solve for x
    x = 72,648.74/345.57
  6. Step 6: Final answer
    x = 210.23

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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.