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Finding the Fourth Proportional to 268.00, 369.80 and 149.98

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Solution

The fourth proportional to 268.00, 369.80 and 149.98 is: 206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.00 : 369.80 = 149.98 : x
  2. Step 2: Convert to fraction form
    268.00/369.80 = 149.98/x
  3. Step 3: Cross multiply
    268.00x = 369.80 × 149.98
  4. Step 4: Simplify right side
    268.00x = 55,463.16
  5. Step 5: Solve for x
    x = 55,463.16/268.00
  6. Step 6: Final answer
    x = 206.95

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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.