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Finding the Fourth Proportional to 207.06, 310.33 and 104.37

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Solution

The fourth proportional to 207.06, 310.33 and 104.37 is: 156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.06 : 310.33 = 104.37 : x
  2. Step 2: Convert to fraction form
    207.06/310.33 = 104.37/x
  3. Step 3: Cross multiply
    207.06x = 310.33 × 104.37
  4. Step 4: Simplify right side
    207.06x = 32,389.14
  5. Step 5: Solve for x
    x = 32,389.14/207.06
  6. Step 6: Final answer
    x = 156.42

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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.