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Finding the Fourth Proportional to 145.27, 200.22 and 117.73

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Solution

The fourth proportional to 145.27, 200.22 and 117.73 is: 162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.27 : 200.22 = 117.73 : x
  2. Step 2: Convert to fraction form
    145.27/200.22 = 117.73/x
  3. Step 3: Cross multiply
    145.27x = 200.22 × 117.73
  4. Step 4: Simplify right side
    145.27x = 23,571.90
  5. Step 5: Solve for x
    x = 23,571.90/145.27
  6. Step 6: Final answer
    x = 162.26

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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.