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Finding the Fourth Proportional to 193.48, 290.26 and 102.26

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Solution

The fourth proportional to 193.48, 290.26 and 102.26 is: 153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.48 : 290.26 = 102.26 : x
  2. Step 2: Convert to fraction form
    193.48/290.26 = 102.26/x
  3. Step 3: Cross multiply
    193.48x = 290.26 × 102.26
  4. Step 4: Simplify right side
    193.48x = 29,681.99
  5. Step 5: Solve for x
    x = 29,681.99/193.48
  6. Step 6: Final answer
    x = 153.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.