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Finding the Fourth Proportional to 193.08, 289.38 and 95.63

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Solution

The fourth proportional to 193.08, 289.38 and 95.63 is: 143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 289.38 = 95.63 : x
  2. Step 2: Convert to fraction form
    193.08/289.38 = 95.63/x
  3. Step 3: Cross multiply
    193.08x = 289.38 × 95.63
  4. Step 4: Simplify right side
    193.08x = 27,673.02
  5. Step 5: Solve for x
    x = 27,673.02/193.08
  6. Step 6: Final answer
    x = 143.32

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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.