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Finding the Fourth Proportional to 199.64, 275.26 and 147.80

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Solution

The fourth proportional to 199.64, 275.26 and 147.80 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.64 : 275.26 = 147.80 : x
  2. Step 2: Convert to fraction form
    199.64/275.26 = 147.80/x
  3. Step 3: Cross multiply
    199.64x = 275.26 × 147.80
  4. Step 4: Simplify right side
    199.64x = 40,683.43
  5. Step 5: Solve for x
    x = 40,683.43/199.64
  6. Step 6: Final answer
    x = 203.78

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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.