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Finding the Fourth Proportional to 225.77, 339.98 and 197.23

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Solution

The fourth proportional to 225.77, 339.98 and 197.23 is: 297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.77 : 339.98 = 197.23 : x
  2. Step 2: Convert to fraction form
    225.77/339.98 = 197.23/x
  3. Step 3: Cross multiply
    225.77x = 339.98 × 197.23
  4. Step 4: Simplify right side
    225.77x = 67,053.27
  5. Step 5: Solve for x
    x = 67,053.27/225.77
  6. Step 6: Final answer
    x = 297.00

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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.