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Finding the Fourth Proportional to 188.28, 259.80 and 105.38

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Solution

The fourth proportional to 188.28, 259.80 and 105.38 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.28 : 259.80 = 105.38 : x
  2. Step 2: Convert to fraction form
    188.28/259.80 = 105.38/x
  3. Step 3: Cross multiply
    188.28x = 259.80 × 105.38
  4. Step 4: Simplify right side
    188.28x = 27,377.72
  5. Step 5: Solve for x
    x = 27,377.72/188.28
  6. Step 6: Final answer
    x = 145.41

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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.