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Finding the Fourth Proportional to 268.82, 400.94 and 260.72

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Solution

The fourth proportional to 268.82, 400.94 and 260.72 is: 388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 400.94 = 260.72 : x
  2. Step 2: Convert to fraction form
    268.82/400.94 = 260.72/x
  3. Step 3: Cross multiply
    268.82x = 400.94 × 260.72
  4. Step 4: Simplify right side
    268.82x = 104,533.08
  5. Step 5: Solve for x
    x = 104,533.08/268.82
  6. Step 6: Final answer
    x = 388.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.