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Finding the Fourth Proportional to 230.13, 343.58 and 197.64

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Solution

The fourth proportional to 230.13, 343.58 and 197.64 is: 295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.13 : 343.58 = 197.64 : x
  2. Step 2: Convert to fraction form
    230.13/343.58 = 197.64/x
  3. Step 3: Cross multiply
    230.13x = 343.58 × 197.64
  4. Step 4: Simplify right side
    230.13x = 67,904.16
  5. Step 5: Solve for x
    x = 67,904.16/230.13
  6. Step 6: Final answer
    x = 295.07

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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.