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Finding the Fourth Proportional to 193.53, 290.09 and 77.90

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Solution

The fourth proportional to 193.53, 290.09 and 77.90 is: 116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.53 : 290.09 = 77.90 : x
  2. Step 2: Convert to fraction form
    193.53/290.09 = 77.90/x
  3. Step 3: Cross multiply
    193.53x = 290.09 × 77.90
  4. Step 4: Simplify right side
    193.53x = 22,598.01
  5. Step 5: Solve for x
    x = 22,598.01/193.53
  6. Step 6: Final answer
    x = 116.77

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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.