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Finding the Fourth Proportional to 230.64, 346.02 and 133.20

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Solution

The fourth proportional to 230.64, 346.02 and 133.20 is: 199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.64 : 346.02 = 133.20 : x
  2. Step 2: Convert to fraction form
    230.64/346.02 = 133.20/x
  3. Step 3: Cross multiply
    230.64x = 346.02 × 133.20
  4. Step 4: Simplify right side
    230.64x = 46,089.86
  5. Step 5: Solve for x
    x = 46,089.86/230.64
  6. Step 6: Final answer
    x = 199.83

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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.