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Finding the Fourth Proportional to 199.68, 275.44 and 129.60

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Solution

The fourth proportional to 199.68, 275.44 and 129.60 is: 178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.68 : 275.44 = 129.60 : x
  2. Step 2: Convert to fraction form
    199.68/275.44 = 129.60/x
  3. Step 3: Cross multiply
    199.68x = 275.44 × 129.60
  4. Step 4: Simplify right side
    199.68x = 35,697.02
  5. Step 5: Solve for x
    x = 35,697.02/199.68
  6. Step 6: Final answer
    x = 178.77

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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.