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Finding the Fourth Proportional to 193.71, 290.16 and 180.39

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Solution

The fourth proportional to 193.71, 290.16 and 180.39 is: 270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.71 : 290.16 = 180.39 : x
  2. Step 2: Convert to fraction form
    193.71/290.16 = 180.39/x
  3. Step 3: Cross multiply
    193.71x = 290.16 × 180.39
  4. Step 4: Simplify right side
    193.71x = 52,341.96
  5. Step 5: Solve for x
    x = 52,341.96/193.71
  6. Step 6: Final answer
    x = 270.21

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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.