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Finding the Fourth Proportional to 190.12, 285.18 and 117.86

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Solution

The fourth proportional to 190.12, 285.18 and 117.86 is: 176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.12 : 285.18 = 117.86 : x
  2. Step 2: Convert to fraction form
    190.12/285.18 = 117.86/x
  3. Step 3: Cross multiply
    190.12x = 285.18 × 117.86
  4. Step 4: Simplify right side
    190.12x = 33,611.31
  5. Step 5: Solve for x
    x = 33,611.31/190.12
  6. Step 6: Final answer
    x = 176.79

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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.