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Finding the Fourth Proportional to 190.13, 285.09 and 98.79

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Solution

The fourth proportional to 190.13, 285.09 and 98.79 is: 148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.13 : 285.09 = 98.79 : x
  2. Step 2: Convert to fraction form
    190.13/285.09 = 98.79/x
  3. Step 3: Cross multiply
    190.13x = 285.09 × 98.79
  4. Step 4: Simplify right side
    190.13x = 28,164.04
  5. Step 5: Solve for x
    x = 28,164.04/190.13
  6. Step 6: Final answer
    x = 148.13

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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.