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Finding the Fourth Proportional to 207.07, 310.75 and 104.27

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Solution

The fourth proportional to 207.07, 310.75 and 104.27 is: 156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.07 : 310.75 = 104.27 : x
  2. Step 2: Convert to fraction form
    207.07/310.75 = 104.27/x
  3. Step 3: Cross multiply
    207.07x = 310.75 × 104.27
  4. Step 4: Simplify right side
    207.07x = 32,400.09
  5. Step 5: Solve for x
    x = 32,400.09/207.07
  6. Step 6: Final answer
    x = 156.47

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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.