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Finding the Fourth Proportional to 188.14, 259.61 and 105.22

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Solution

The fourth proportional to 188.14, 259.61 and 105.22 is: 145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.14 : 259.61 = 105.22 : x
  2. Step 2: Convert to fraction form
    188.14/259.61 = 105.22/x
  3. Step 3: Cross multiply
    188.14x = 259.61 × 105.22
  4. Step 4: Simplify right side
    188.14x = 27,316.69
  5. Step 5: Solve for x
    x = 27,316.69/188.14
  6. Step 6: Final answer
    x = 145.20

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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.