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Finding the Fourth Proportional to 230.95, 346.41 and 94.00

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Solution

The fourth proportional to 230.95, 346.41 and 94.00 is: 140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.95 : 346.41 = 94.00 : x
  2. Step 2: Convert to fraction form
    230.95/346.41 = 94.00/x
  3. Step 3: Cross multiply
    230.95x = 346.41 × 94.00
  4. Step 4: Simplify right side
    230.95x = 32,562.23
  5. Step 5: Solve for x
    x = 32,562.23/230.95
  6. Step 6: Final answer
    x = 140.99

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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.