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Finding the Fourth Proportional to 233.90, 351.31 and 201.68

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Solution

The fourth proportional to 233.90, 351.31 and 201.68 is: 302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 351.31 = 201.68 : x
  2. Step 2: Convert to fraction form
    233.90/351.31 = 201.68/x
  3. Step 3: Cross multiply
    233.90x = 351.31 × 201.68
  4. Step 4: Simplify right side
    233.90x = 70,852.20
  5. Step 5: Solve for x
    x = 70,852.20/233.90
  6. Step 6: Final answer
    x = 302.92

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