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Finding the Fourth Proportional to 200.28, 276.18 and 169.26

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Solution

The fourth proportional to 200.28, 276.18 and 169.26 is: 233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.28 : 276.18 = 169.26 : x
  2. Step 2: Convert to fraction form
    200.28/276.18 = 169.26/x
  3. Step 3: Cross multiply
    200.28x = 276.18 × 169.26
  4. Step 4: Simplify right side
    200.28x = 46,746.23
  5. Step 5: Solve for x
    x = 46,746.23/200.28
  6. Step 6: Final answer
    x = 233.40

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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.