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Finding the Fourth Proportional to 268.25, 401.60 and 200.07

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Solution

The fourth proportional to 268.25, 401.60 and 200.07 is: 299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.25 : 401.60 = 200.07 : x
  2. Step 2: Convert to fraction form
    268.25/401.60 = 200.07/x
  3. Step 3: Cross multiply
    268.25x = 401.60 × 200.07
  4. Step 4: Simplify right side
    268.25x = 80,347.11
  5. Step 5: Solve for x
    x = 80,347.11/268.25
  6. Step 6: Final answer
    x = 299.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.