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Finding the Fourth Proportional to 207.33, 311.13 and 138.93

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Solution

The fourth proportional to 207.33, 311.13 and 138.93 is: 208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.33 : 311.13 = 138.93 : x
  2. Step 2: Convert to fraction form
    207.33/311.13 = 138.93/x
  3. Step 3: Cross multiply
    207.33x = 311.13 × 138.93
  4. Step 4: Simplify right side
    207.33x = 43,225.29
  5. Step 5: Solve for x
    x = 43,225.29/207.33
  6. Step 6: Final answer
    x = 208.49

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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.