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Finding the Fourth Proportional to 340.39, 510.22 and 166.96

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Solution

The fourth proportional to 340.39, 510.22 and 166.96 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.39 : 510.22 = 166.96 : x
  2. Step 2: Convert to fraction form
    340.39/510.22 = 166.96/x
  3. Step 3: Cross multiply
    340.39x = 510.22 × 166.96
  4. Step 4: Simplify right side
    340.39x = 85,186.33
  5. Step 5: Solve for x
    x = 85,186.33/340.39
  6. Step 6: Final answer
    x = 250.26

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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.