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Finding the Fourth Proportional to 199.76, 275.40 and 140.60

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Solution

The fourth proportional to 199.76, 275.40 and 140.60 is: 193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.76 : 275.40 = 140.60 : x
  2. Step 2: Convert to fraction form
    199.76/275.40 = 140.60/x
  3. Step 3: Cross multiply
    199.76x = 275.40 × 140.60
  4. Step 4: Simplify right side
    199.76x = 38,721.24
  5. Step 5: Solve for x
    x = 38,721.24/199.76
  6. Step 6: Final answer
    x = 193.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.