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Finding the Fourth Proportional to 233.85, 322.89 and 201.45

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Solution

The fourth proportional to 233.85, 322.89 and 201.45 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.85 : 322.89 = 201.45 : x
  2. Step 2: Convert to fraction form
    233.85/322.89 = 201.45/x
  3. Step 3: Cross multiply
    233.85x = 322.89 × 201.45
  4. Step 4: Simplify right side
    233.85x = 65,046.19
  5. Step 5: Solve for x
    x = 65,046.19/233.85
  6. Step 6: Final answer
    x = 278.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.