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Finding the Fourth Proportional to 144.74, 199.59 and 142.58

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Solution

The fourth proportional to 144.74, 199.59 and 142.58 is: 196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.74 : 199.59 = 142.58 : x
  2. Step 2: Convert to fraction form
    144.74/199.59 = 142.58/x
  3. Step 3: Cross multiply
    144.74x = 199.59 × 142.58
  4. Step 4: Simplify right side
    144.74x = 28,457.54
  5. Step 5: Solve for x
    x = 28,457.54/144.74
  6. Step 6: Final answer
    x = 196.61

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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.