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Finding the Fourth Proportional to 265.70, 366.36 and 200.36

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Solution

The fourth proportional to 265.70, 366.36 and 200.36 is: 276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.70 : 366.36 = 200.36 : x
  2. Step 2: Convert to fraction form
    265.70/366.36 = 200.36/x
  3. Step 3: Cross multiply
    265.70x = 366.36 × 200.36
  4. Step 4: Simplify right side
    265.70x = 73,403.89
  5. Step 5: Solve for x
    x = 73,403.89/265.70
  6. Step 6: Final answer
    x = 276.27

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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.