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Finding the Fourth Proportional to 190.72, 284.81 and 184.24

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Solution

The fourth proportional to 190.72, 284.81 and 184.24 is: 275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.72 : 284.81 = 184.24 : x
  2. Step 2: Convert to fraction form
    190.72/284.81 = 184.24/x
  3. Step 3: Cross multiply
    190.72x = 284.81 × 184.24
  4. Step 4: Simplify right side
    190.72x = 52,473.39
  5. Step 5: Solve for x
    x = 52,473.39/190.72
  6. Step 6: Final answer
    x = 275.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.