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Finding the Fourth Proportional to 190.10, 261.87 and 151.22

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Solution

The fourth proportional to 190.10, 261.87 and 151.22 is: 208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.10 : 261.87 = 151.22 : x
  2. Step 2: Convert to fraction form
    190.10/261.87 = 151.22/x
  3. Step 3: Cross multiply
    190.10x = 261.87 × 151.22
  4. Step 4: Simplify right side
    190.10x = 39,599.98
  5. Step 5: Solve for x
    x = 39,599.98/190.10
  6. Step 6: Final answer
    x = 208.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.