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Finding the Fourth Proportional to 193.26, 289.53 and 102.05

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Solution

The fourth proportional to 193.26, 289.53 and 102.05 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.26 : 289.53 = 102.05 : x
  2. Step 2: Convert to fraction form
    193.26/289.53 = 102.05/x
  3. Step 3: Cross multiply
    193.26x = 289.53 × 102.05
  4. Step 4: Simplify right side
    193.26x = 29,545.09
  5. Step 5: Solve for x
    x = 29,545.09/193.26
  6. Step 6: Final answer
    x = 152.88

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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.