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Finding the Fourth Proportional to 230.70, 345.63 and 134.22

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Solution

The fourth proportional to 230.70, 345.63 and 134.22 is: 201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.70 : 345.63 = 134.22 : x
  2. Step 2: Convert to fraction form
    230.70/345.63 = 134.22/x
  3. Step 3: Cross multiply
    230.70x = 345.63 × 134.22
  4. Step 4: Simplify right side
    230.70x = 46,390.46
  5. Step 5: Solve for x
    x = 46,390.46/230.70
  6. Step 6: Final answer
    x = 201.09

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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.