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Finding the Fourth Proportional to 190.36, 285.55 and 53.39

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Solution

The fourth proportional to 190.36, 285.55 and 53.39 is: 80.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.36 : 285.55 = 53.39 : x
  2. Step 2: Convert to fraction form
    190.36/285.55 = 53.39/x
  3. Step 3: Cross multiply
    190.36x = 285.55 × 53.39
  4. Step 4: Simplify right side
    190.36x = 15,246.46
  5. Step 5: Solve for x
    x = 15,246.46/190.36
  6. Step 6: Final answer
    x = 80.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.