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Finding the Fourth Proportional to 207.54, 311.61 and 178.95

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Solution

The fourth proportional to 207.54, 311.61 and 178.95 is: 268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.54 : 311.61 = 178.95 : x
  2. Step 2: Convert to fraction form
    207.54/311.61 = 178.95/x
  3. Step 3: Cross multiply
    207.54x = 311.61 × 178.95
  4. Step 4: Simplify right side
    207.54x = 55,762.61
  5. Step 5: Solve for x
    x = 55,762.61/207.54
  6. Step 6: Final answer
    x = 268.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.