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Finding the Fourth Proportional to 193.41, 290.27 and 102.14

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Solution

The fourth proportional to 193.41, 290.27 and 102.14 is: 153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.41 : 290.27 = 102.14 : x
  2. Step 2: Convert to fraction form
    193.41/290.27 = 102.14/x
  3. Step 3: Cross multiply
    193.41x = 290.27 × 102.14
  4. Step 4: Simplify right side
    193.41x = 29,646.22
  5. Step 5: Solve for x
    x = 29,646.22/193.41
  6. Step 6: Final answer
    x = 153.28

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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.