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Finding the Fourth Proportional to 199.80, 275.45 and 165.60

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Solution

The fourth proportional to 199.80, 275.45 and 165.60 is: 228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.80 : 275.45 = 165.60 : x
  2. Step 2: Convert to fraction form
    199.80/275.45 = 165.60/x
  3. Step 3: Cross multiply
    199.80x = 275.45 × 165.60
  4. Step 4: Simplify right side
    199.80x = 45,613.69
  5. Step 5: Solve for x
    x = 45,613.69/199.80
  6. Step 6: Final answer
    x = 228.30

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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.