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Finding the Fourth Proportional to 190.30, 284.21 and 166

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Solution

The fourth proportional to 190.30, 284.21 and 166 is: 247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.30 : 284.21 = 166 : x
  2. Step 2: Convert to fraction form
    190.30/284.21 = 166/x
  3. Step 3: Cross multiply
    190.30x = 284.21 × 166
  4. Step 4: Simplify right side
    190.30x = 47,178.86
  5. Step 5: Solve for x
    x = 47,178.86/190.30
  6. Step 6: Final answer
    x = 247.92

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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.