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Finding the Fourth Proportional to 230.25, 346.62 and 200.46

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Solution

The fourth proportional to 230.25, 346.62 and 200.46 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.25 : 346.62 = 200.46 : x
  2. Step 2: Convert to fraction form
    230.25/346.62 = 200.46/x
  3. Step 3: Cross multiply
    230.25x = 346.62 × 200.46
  4. Step 4: Simplify right side
    230.25x = 69,483.45
  5. Step 5: Solve for x
    x = 69,483.45/230.25
  6. Step 6: Final answer
    x = 301.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.