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Finding the Fourth Proportional to 195.60, 292.74 and 140.60

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Solution

The fourth proportional to 195.60, 292.74 and 140.60 is: 210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 292.74 = 140.60 : x
  2. Step 2: Convert to fraction form
    195.60/292.74 = 140.60/x
  3. Step 3: Cross multiply
    195.60x = 292.74 × 140.60
  4. Step 4: Simplify right side
    195.60x = 41,159.24
  5. Step 5: Solve for x
    x = 41,159.24/195.60
  6. Step 6: Final answer
    x = 210.43

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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.