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Finding the Fourth Proportional to 230.14, 343.54 and 213

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Solution

The fourth proportional to 230.14, 343.54 and 213 is: 317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.14 : 343.54 = 213 : x
  2. Step 2: Convert to fraction form
    230.14/343.54 = 213/x
  3. Step 3: Cross multiply
    230.14x = 343.54 × 213
  4. Step 4: Simplify right side
    230.14x = 73,174.02
  5. Step 5: Solve for x
    x = 73,174.02/230.14
  6. Step 6: Final answer
    x = 317.95

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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.