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Finding the Fourth Proportional to 207.76, 311.62 and 70.82

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Solution

The fourth proportional to 207.76, 311.62 and 70.82 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.76 : 311.62 = 70.82 : x
  2. Step 2: Convert to fraction form
    207.76/311.62 = 70.82/x
  3. Step 3: Cross multiply
    207.76x = 311.62 × 70.82
  4. Step 4: Simplify right side
    207.76x = 22,068.93
  5. Step 5: Solve for x
    x = 22,068.93/207.76
  6. Step 6: Final answer
    x = 106.22

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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.