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Finding the Fourth Proportional to 190.90, 284.61 and 186.16

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Solution

The fourth proportional to 190.90, 284.61 and 186.16 is: 277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.90 : 284.61 = 186.16 : x
  2. Step 2: Convert to fraction form
    190.90/284.61 = 186.16/x
  3. Step 3: Cross multiply
    190.90x = 284.61 × 186.16
  4. Step 4: Simplify right side
    190.90x = 52,983.00
  5. Step 5: Solve for x
    x = 52,983.00/190.90
  6. Step 6: Final answer
    x = 277.54

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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.