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Finding the Fourth Proportional to 190.19, 285.29 and 74.69

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Solution

The fourth proportional to 190.19, 285.29 and 74.69 is: 112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.19 : 285.29 = 74.69 : x
  2. Step 2: Convert to fraction form
    190.19/285.29 = 74.69/x
  3. Step 3: Cross multiply
    190.19x = 285.29 × 74.69
  4. Step 4: Simplify right side
    190.19x = 21,308.31
  5. Step 5: Solve for x
    x = 21,308.31/190.19
  6. Step 6: Final answer
    x = 112.04

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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.