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Finding the Fourth Proportional to 193.53, 290.16 and 83.79

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Solution

The fourth proportional to 193.53, 290.16 and 83.79 is: 125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.53 : 290.16 = 83.79 : x
  2. Step 2: Convert to fraction form
    193.53/290.16 = 83.79/x
  3. Step 3: Cross multiply
    193.53x = 290.16 × 83.79
  4. Step 4: Simplify right side
    193.53x = 24,312.51
  5. Step 5: Solve for x
    x = 24,312.51/193.53
  6. Step 6: Final answer
    x = 125.63

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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.