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Finding the Fourth Proportional to 225.47, 310.49 and 200.63

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Solution

The fourth proportional to 225.47, 310.49 and 200.63 is: 276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.47 : 310.49 = 200.63 : x
  2. Step 2: Convert to fraction form
    225.47/310.49 = 200.63/x
  3. Step 3: Cross multiply
    225.47x = 310.49 × 200.63
  4. Step 4: Simplify right side
    225.47x = 62,293.61
  5. Step 5: Solve for x
    x = 62,293.61/225.47
  6. Step 6: Final answer
    x = 276.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.