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Finding the Fourth Proportional to 265.79, 366.96 and 200.58

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Solution

The fourth proportional to 265.79, 366.96 and 200.58 is: 276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.79 : 366.96 = 200.58 : x
  2. Step 2: Convert to fraction form
    265.79/366.96 = 200.58/x
  3. Step 3: Cross multiply
    265.79x = 366.96 × 200.58
  4. Step 4: Simplify right side
    265.79x = 73,604.84
  5. Step 5: Solve for x
    x = 73,604.84/265.79
  6. Step 6: Final answer
    x = 276.93

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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.