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Finding the Fourth Proportional to 190.82, 261.62 and 187.17

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Solution

The fourth proportional to 190.82, 261.62 and 187.17 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 261.62 = 187.17 : x
  2. Step 2: Convert to fraction form
    190.82/261.62 = 187.17/x
  3. Step 3: Cross multiply
    190.82x = 261.62 × 187.17
  4. Step 4: Simplify right side
    190.82x = 48,966.48
  5. Step 5: Solve for x
    x = 48,966.48/190.82
  6. Step 6: Final answer
    x = 256.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.