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Finding the Fourth Proportional to 233.97, 351 and 136.50

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Solution

The fourth proportional to 233.97, 351 and 136.50 is: 204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.97 : 351 = 136.50 : x
  2. Step 2: Convert to fraction form
    233.97/351 = 136.50/x
  3. Step 3: Cross multiply
    233.97x = 351 × 136.50
  4. Step 4: Simplify right side
    233.97x = 47,911.50
  5. Step 5: Solve for x
    x = 47,911.50/233.97
  6. Step 6: Final answer
    x = 204.78

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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.