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Finding the Fourth Proportional to 193.24, 289.64 and 77.58

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Solution

The fourth proportional to 193.24, 289.64 and 77.58 is: 116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.24 : 289.64 = 77.58 : x
  2. Step 2: Convert to fraction form
    193.24/289.64 = 77.58/x
  3. Step 3: Cross multiply
    193.24x = 289.64 × 77.58
  4. Step 4: Simplify right side
    193.24x = 22,470.27
  5. Step 5: Solve for x
    x = 22,470.27/193.24
  6. Step 6: Final answer
    x = 116.28

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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.