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Finding the Fourth Proportional to 268.80, 369.86 and 261.62

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Solution

The fourth proportional to 268.80, 369.86 and 261.62 is: 359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.80 : 369.86 = 261.62 : x
  2. Step 2: Convert to fraction form
    268.80/369.86 = 261.62/x
  3. Step 3: Cross multiply
    268.80x = 369.86 × 261.62
  4. Step 4: Simplify right side
    268.80x = 96,762.77
  5. Step 5: Solve for x
    x = 96,762.77/268.80
  6. Step 6: Final answer
    x = 359.98

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Why These Related Problems?

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