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Finding the Fourth Proportional to 192.83, 289.04 and 135.09

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Solution

The fourth proportional to 192.83, 289.04 and 135.09 is: 202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.83 : 289.04 = 135.09 : x
  2. Step 2: Convert to fraction form
    192.83/289.04 = 135.09/x
  3. Step 3: Cross multiply
    192.83x = 289.04 × 135.09
  4. Step 4: Simplify right side
    192.83x = 39,045.74
  5. Step 5: Solve for x
    x = 39,045.74/192.83
  6. Step 6: Final answer
    x = 202.49

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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.