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Finding the Fourth Proportional to 190.29, 283.58 and 184.14

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Solution

The fourth proportional to 190.29, 283.58 and 184.14 is: 274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.29 : 283.58 = 184.14 : x
  2. Step 2: Convert to fraction form
    190.29/283.58 = 184.14/x
  3. Step 3: Cross multiply
    190.29x = 283.58 × 184.14
  4. Step 4: Simplify right side
    190.29x = 52,220.18
  5. Step 5: Solve for x
    x = 52,220.18/190.29
  6. Step 6: Final answer
    x = 274.42

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Why These Related Problems?

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