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Finding the Fourth Proportional to 259.70, 388.82 and 167.96

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Solution

The fourth proportional to 259.70, 388.82 and 167.96 is: 251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.70 : 388.82 = 167.96 : x
  2. Step 2: Convert to fraction form
    259.70/388.82 = 167.96/x
  3. Step 3: Cross multiply
    259.70x = 388.82 × 167.96
  4. Step 4: Simplify right side
    259.70x = 65,303.42
  5. Step 5: Solve for x
    x = 65,303.42/259.70
  6. Step 6: Final answer
    x = 251.46

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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.