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Finding the Fourth Proportional to 233.08, 348.81 and 146.21

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Solution

The fourth proportional to 233.08, 348.81 and 146.21 is: 218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.08 : 348.81 = 146.21 : x
  2. Step 2: Convert to fraction form
    233.08/348.81 = 146.21/x
  3. Step 3: Cross multiply
    233.08x = 348.81 × 146.21
  4. Step 4: Simplify right side
    233.08x = 50,997.22
  5. Step 5: Solve for x
    x = 50,997.22/233.08
  6. Step 6: Final answer
    x = 218.80

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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.