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Finding the Fourth Proportional to 200, 275.60 and 164.92

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Solution

The fourth proportional to 200, 275.60 and 164.92 is: 227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 275.60 = 164.92 : x
  2. Step 2: Convert to fraction form
    200/275.60 = 164.92/x
  3. Step 3: Cross multiply
    200x = 275.60 × 164.92
  4. Step 4: Simplify right side
    200x = 45,451.95
  5. Step 5: Solve for x
    x = 45,451.95/200
  6. Step 6: Final answer
    x = 227.26

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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.