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Finding the Fourth Proportional to 190.04, 284.52 and 132.14

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Solution

The fourth proportional to 190.04, 284.52 and 132.14 is: 197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.04 : 284.52 = 132.14 : x
  2. Step 2: Convert to fraction form
    190.04/284.52 = 132.14/x
  3. Step 3: Cross multiply
    190.04x = 284.52 × 132.14
  4. Step 4: Simplify right side
    190.04x = 37,596.47
  5. Step 5: Solve for x
    x = 37,596.47/190.04
  6. Step 6: Final answer
    x = 197.83

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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.