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Finding the Fourth Proportional to 188.39, 259.84 and 122.82

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Solution

The fourth proportional to 188.39, 259.84 and 122.82 is: 169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.39 : 259.84 = 122.82 : x
  2. Step 2: Convert to fraction form
    188.39/259.84 = 122.82/x
  3. Step 3: Cross multiply
    188.39x = 259.84 × 122.82
  4. Step 4: Simplify right side
    188.39x = 31,913.55
  5. Step 5: Solve for x
    x = 31,913.55/188.39
  6. Step 6: Final answer
    x = 169.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.