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Finding the Fourth Proportional to 144.17, 199.00 and 142.35

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Solution

The fourth proportional to 144.17, 199.00 and 142.35 is: 196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.17 : 199.00 = 142.35 : x
  2. Step 2: Convert to fraction form
    144.17/199.00 = 142.35/x
  3. Step 3: Cross multiply
    144.17x = 199.00 × 142.35
  4. Step 4: Simplify right side
    144.17x = 28,327.08
  5. Step 5: Solve for x
    x = 28,327.08/144.17
  6. Step 6: Final answer
    x = 196.49

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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.