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Finding the Fourth Proportional to 193.14, 289.49 and 135.48

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Solution

The fourth proportional to 193.14, 289.49 and 135.48 is: 203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 289.49 = 135.48 : x
  2. Step 2: Convert to fraction form
    193.14/289.49 = 135.48/x
  3. Step 3: Cross multiply
    193.14x = 289.49 × 135.48
  4. Step 4: Simplify right side
    193.14x = 39,220.51
  5. Step 5: Solve for x
    x = 39,220.51/193.14
  6. Step 6: Final answer
    x = 203.07

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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.