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Finding the Fourth Proportional to 207, 310.71 and 85.34

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Solution

The fourth proportional to 207, 310.71 and 85.34 is: 128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207 : 310.71 = 85.34 : x
  2. Step 2: Convert to fraction form
    207/310.71 = 85.34/x
  3. Step 3: Cross multiply
    207x = 310.71 × 85.34
  4. Step 4: Simplify right side
    207x = 26,514.44
  5. Step 5: Solve for x
    x = 26,514.44/207
  6. Step 6: Final answer
    x = 128.09

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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.