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Finding the Fourth Proportional to 192.74, 289.27 and 134.76

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Solution

The fourth proportional to 192.74, 289.27 and 134.76 is: 202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.74 : 289.27 = 134.76 : x
  2. Step 2: Convert to fraction form
    192.74/289.27 = 134.76/x
  3. Step 3: Cross multiply
    192.74x = 289.27 × 134.76
  4. Step 4: Simplify right side
    192.74x = 38,982.03
  5. Step 5: Solve for x
    x = 38,982.03/192.74
  6. Step 6: Final answer
    x = 202.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.