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Finding the Fourth Proportional to 233.42, 350.21 and 110.09

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Solution

The fourth proportional to 233.42, 350.21 and 110.09 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.42 : 350.21 = 110.09 : x
  2. Step 2: Convert to fraction form
    233.42/350.21 = 110.09/x
  3. Step 3: Cross multiply
    233.42x = 350.21 × 110.09
  4. Step 4: Simplify right side
    233.42x = 38,552.32
  5. Step 5: Solve for x
    x = 38,552.32/233.42
  6. Step 6: Final answer
    x = 165.17

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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.