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Finding the Fourth Proportional to 233.64, 322.02 and 200.84

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Solution

The fourth proportional to 233.64, 322.02 and 200.84 is: 276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 322.02 = 200.84 : x
  2. Step 2: Convert to fraction form
    233.64/322.02 = 200.84/x
  3. Step 3: Cross multiply
    233.64x = 322.02 × 200.84
  4. Step 4: Simplify right side
    233.64x = 64,674.50
  5. Step 5: Solve for x
    x = 64,674.50/233.64
  6. Step 6: Final answer
    x = 276.81

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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.