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Finding the Fourth Proportional to 233.15, 321.66 and 139.88

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Solution

The fourth proportional to 233.15, 321.66 and 139.88 is: 192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.15 : 321.66 = 139.88 : x
  2. Step 2: Convert to fraction form
    233.15/321.66 = 139.88/x
  3. Step 3: Cross multiply
    233.15x = 321.66 × 139.88
  4. Step 4: Simplify right side
    233.15x = 44,993.80
  5. Step 5: Solve for x
    x = 44,993.80/233.15
  6. Step 6: Final answer
    x = 192.98

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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.