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Finding the Fourth Proportional to 233.64, 348.99 and 197.19

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Solution

The fourth proportional to 233.64, 348.99 and 197.19 is: 294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 348.99 = 197.19 : x
  2. Step 2: Convert to fraction form
    233.64/348.99 = 197.19/x
  3. Step 3: Cross multiply
    233.64x = 348.99 × 197.19
  4. Step 4: Simplify right side
    233.64x = 68,817.34
  5. Step 5: Solve for x
    x = 68,817.34/233.64
  6. Step 6: Final answer
    x = 294.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.