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Finding the Fourth Proportional to 188.10, 259.11 and 149.22

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Solution

The fourth proportional to 188.10, 259.11 and 149.22 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.10 : 259.11 = 149.22 : x
  2. Step 2: Convert to fraction form
    188.10/259.11 = 149.22/x
  3. Step 3: Cross multiply
    188.10x = 259.11 × 149.22
  4. Step 4: Simplify right side
    188.10x = 38,664.39
  5. Step 5: Solve for x
    x = 38,664.39/188.10
  6. Step 6: Final answer
    x = 205.55

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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.