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Finding the Fourth Proportional to 233.76, 321.60 and 200.88

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Solution

The fourth proportional to 233.76, 321.60 and 200.88 is: 276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 321.60 = 200.88 : x
  2. Step 2: Convert to fraction form
    233.76/321.60 = 200.88/x
  3. Step 3: Cross multiply
    233.76x = 321.60 × 200.88
  4. Step 4: Simplify right side
    233.76x = 64,603.01
  5. Step 5: Solve for x
    x = 64,603.01/233.76
  6. Step 6: Final answer
    x = 276.36

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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.