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Finding the Fourth Proportional to 188.95, 260.86 and 122.62

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Solution

The fourth proportional to 188.95, 260.86 and 122.62 is: 169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.95 : 260.86 = 122.62 : x
  2. Step 2: Convert to fraction form
    188.95/260.86 = 122.62/x
  3. Step 3: Cross multiply
    188.95x = 260.86 × 122.62
  4. Step 4: Simplify right side
    188.95x = 31,985.35
  5. Step 5: Solve for x
    x = 31,985.35/188.95
  6. Step 6: Final answer
    x = 169.28

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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.