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Finding the Fourth Proportional to 193.52, 289.71 and 180.70

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Solution

The fourth proportional to 193.52, 289.71 and 180.70 is: 270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.52 : 289.71 = 180.70 : x
  2. Step 2: Convert to fraction form
    193.52/289.71 = 180.70/x
  3. Step 3: Cross multiply
    193.52x = 289.71 × 180.70
  4. Step 4: Simplify right side
    193.52x = 52,349.87
  5. Step 5: Solve for x
    x = 52,349.87/193.52
  6. Step 6: Final answer
    x = 270.51

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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.