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Finding the Fourth Proportional to 207.95, 311.57 and 160.07

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Solution

The fourth proportional to 207.95, 311.57 and 160.07 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.95 : 311.57 = 160.07 : x
  2. Step 2: Convert to fraction form
    207.95/311.57 = 160.07/x
  3. Step 3: Cross multiply
    207.95x = 311.57 × 160.07
  4. Step 4: Simplify right side
    207.95x = 49,872.21
  5. Step 5: Solve for x
    x = 49,872.21/207.95
  6. Step 6: Final answer
    x = 239.83

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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.