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Finding the Fourth Proportional to 190.50, 284.25 and 164.58

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Solution

The fourth proportional to 190.50, 284.25 and 164.58 is: 245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.50 : 284.25 = 164.58 : x
  2. Step 2: Convert to fraction form
    190.50/284.25 = 164.58/x
  3. Step 3: Cross multiply
    190.50x = 284.25 × 164.58
  4. Step 4: Simplify right side
    190.50x = 46,781.87
  5. Step 5: Solve for x
    x = 46,781.87/190.50
  6. Step 6: Final answer
    x = 245.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.