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Finding the Fourth Proportional to 190.26, 284.94 and 136.08

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Solution

The fourth proportional to 190.26, 284.94 and 136.08 is: 203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.26 : 284.94 = 136.08 : x
  2. Step 2: Convert to fraction form
    190.26/284.94 = 136.08/x
  3. Step 3: Cross multiply
    190.26x = 284.94 × 136.08
  4. Step 4: Simplify right side
    190.26x = 38,774.64
  5. Step 5: Solve for x
    x = 38,774.64/190.26
  6. Step 6: Final answer
    x = 203.80

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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.