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Finding the Fourth Proportional to 207.54, 309.87 and 176.67

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Solution

The fourth proportional to 207.54, 309.87 and 176.67 is: 263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.54 : 309.87 = 176.67 : x
  2. Step 2: Convert to fraction form
    207.54/309.87 = 176.67/x
  3. Step 3: Cross multiply
    207.54x = 309.87 × 176.67
  4. Step 4: Simplify right side
    207.54x = 54,744.73
  5. Step 5: Solve for x
    x = 54,744.73/207.54
  6. Step 6: Final answer
    x = 263.78

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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.