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Finding the Fourth Proportional to 192.84, 289.13 and 106.22

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Solution

The fourth proportional to 192.84, 289.13 and 106.22 is: 159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.84 : 289.13 = 106.22 : x
  2. Step 2: Convert to fraction form
    192.84/289.13 = 106.22/x
  3. Step 3: Cross multiply
    192.84x = 289.13 × 106.22
  4. Step 4: Simplify right side
    192.84x = 30,710.23
  5. Step 5: Solve for x
    x = 30,710.23/192.84
  6. Step 6: Final answer
    x = 159.25

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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.