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Finding the Fourth Proportional to 190.87, 284.85 and 186.01

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Solution

The fourth proportional to 190.87, 284.85 and 186.01 is: 277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.87 : 284.85 = 186.01 : x
  2. Step 2: Convert to fraction form
    190.87/284.85 = 186.01/x
  3. Step 3: Cross multiply
    190.87x = 284.85 × 186.01
  4. Step 4: Simplify right side
    190.87x = 52,984.95
  5. Step 5: Solve for x
    x = 52,984.95/190.87
  6. Step 6: Final answer
    x = 277.60

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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.