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Finding the Fourth Proportional to 207.23, 310.92 and 85.47

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Solution

The fourth proportional to 207.23, 310.92 and 85.47 is: 128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.23 : 310.92 = 85.47 : x
  2. Step 2: Convert to fraction form
    207.23/310.92 = 85.47/x
  3. Step 3: Cross multiply
    207.23x = 310.92 × 85.47
  4. Step 4: Simplify right side
    207.23x = 26,574.33
  5. Step 5: Solve for x
    x = 26,574.33/207.23
  6. Step 6: Final answer
    x = 128.24

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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.