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Finding the Fourth Proportional to 230.51, 344.54 and 200.00

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Solution

The fourth proportional to 230.51, 344.54 and 200.00 is: 298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.51 : 344.54 = 200.00 : x
  2. Step 2: Convert to fraction form
    230.51/344.54 = 200.00/x
  3. Step 3: Cross multiply
    230.51x = 344.54 × 200.00
  4. Step 4: Simplify right side
    230.51x = 68,909.36
  5. Step 5: Solve for x
    x = 68,909.36/230.51
  6. Step 6: Final answer
    x = 298.94

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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.