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Finding the Fourth Proportional to 190.09, 285 and 153.57

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Solution

The fourth proportional to 190.09, 285 and 153.57 is: 230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.09 : 285 = 153.57 : x
  2. Step 2: Convert to fraction form
    190.09/285 = 153.57/x
  3. Step 3: Cross multiply
    190.09x = 285 × 153.57
  4. Step 4: Simplify right side
    190.09x = 43,767.45
  5. Step 5: Solve for x
    x = 43,767.45/190.09
  6. Step 6: Final answer
    x = 230.25

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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.