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Finding the Fourth Proportional to 345.60, 518.42 and 140.14

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Solution

The fourth proportional to 345.60, 518.42 and 140.14 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 518.42 = 140.14 : x
  2. Step 2: Convert to fraction form
    345.60/518.42 = 140.14/x
  3. Step 3: Cross multiply
    345.60x = 518.42 × 140.14
  4. Step 4: Simplify right side
    345.60x = 72,651.38
  5. Step 5: Solve for x
    x = 72,651.38/345.60
  6. Step 6: Final answer
    x = 210.22

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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.