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Finding the Fourth Proportional to 188.74, 260.22 and 144.46

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Solution

The fourth proportional to 188.74, 260.22 and 144.46 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.74 : 260.22 = 144.46 : x
  2. Step 2: Convert to fraction form
    188.74/260.22 = 144.46/x
  3. Step 3: Cross multiply
    188.74x = 260.22 × 144.46
  4. Step 4: Simplify right side
    188.74x = 37,591.38
  5. Step 5: Solve for x
    x = 37,591.38/188.74
  6. Step 6: Final answer
    x = 199.17

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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.