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Finding the Fourth Proportional to 230.01, 343.02 and 208.14

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Solution

The fourth proportional to 230.01, 343.02 and 208.14 is: 310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.01 : 343.02 = 208.14 : x
  2. Step 2: Convert to fraction form
    230.01/343.02 = 208.14/x
  3. Step 3: Cross multiply
    230.01x = 343.02 × 208.14
  4. Step 4: Simplify right side
    230.01x = 71,396.18
  5. Step 5: Solve for x
    x = 71,396.18/230.01
  6. Step 6: Final answer
    x = 310.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.