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Finding the Fourth Proportional to 190.32, 284.88 and 124.80

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Solution

The fourth proportional to 190.32, 284.88 and 124.80 is: 186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 284.88 = 124.80 : x
  2. Step 2: Convert to fraction form
    190.32/284.88 = 124.80/x
  3. Step 3: Cross multiply
    190.32x = 284.88 × 124.80
  4. Step 4: Simplify right side
    190.32x = 35,553.02
  5. Step 5: Solve for x
    x = 35,553.02/190.32
  6. Step 6: Final answer
    x = 186.81

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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.