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Finding the Fourth Proportional to 145.73, 200.68 and 142.54

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Solution

The fourth proportional to 145.73, 200.68 and 142.54 is: 196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.73 : 200.68 = 142.54 : x
  2. Step 2: Convert to fraction form
    145.73/200.68 = 142.54/x
  3. Step 3: Cross multiply
    145.73x = 200.68 × 142.54
  4. Step 4: Simplify right side
    145.73x = 28,604.07
  5. Step 5: Solve for x
    x = 28,604.07/145.73
  6. Step 6: Final answer
    x = 196.28

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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.