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Finding the Fourth Proportional to 207.23, 310.65 and 104.36

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Solution

The fourth proportional to 207.23, 310.65 and 104.36 is: 156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.23 : 310.65 = 104.36 : x
  2. Step 2: Convert to fraction form
    207.23/310.65 = 104.36/x
  3. Step 3: Cross multiply
    207.23x = 310.65 × 104.36
  4. Step 4: Simplify right side
    207.23x = 32,419.43
  5. Step 5: Solve for x
    x = 32,419.43/207.23
  6. Step 6: Final answer
    x = 156.44

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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.