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Finding the Fourth Proportional to 147.74, 203.28 and 144.14

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Solution

The fourth proportional to 147.74, 203.28 and 144.14 is: 198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.74 : 203.28 = 144.14 : x
  2. Step 2: Convert to fraction form
    147.74/203.28 = 144.14/x
  3. Step 3: Cross multiply
    147.74x = 203.28 × 144.14
  4. Step 4: Simplify right side
    147.74x = 29,300.78
  5. Step 5: Solve for x
    x = 29,300.78/147.74
  6. Step 6: Final answer
    x = 198.33

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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.