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Finding the Fourth Proportional to 193.29, 290.07 and 150.06

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Solution

The fourth proportional to 193.29, 290.07 and 150.06 is: 225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.29 : 290.07 = 150.06 : x
  2. Step 2: Convert to fraction form
    193.29/290.07 = 150.06/x
  3. Step 3: Cross multiply
    193.29x = 290.07 × 150.06
  4. Step 4: Simplify right side
    193.29x = 43,526.45
  5. Step 5: Solve for x
    x = 43,526.45/193.29
  6. Step 6: Final answer
    x = 225.19

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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.