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Finding the Fourth Proportional to 191.16, 286.54 and 109.86

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Solution

The fourth proportional to 191.16, 286.54 and 109.86 is: 164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.16 : 286.54 = 109.86 : x
  2. Step 2: Convert to fraction form
    191.16/286.54 = 109.86/x
  3. Step 3: Cross multiply
    191.16x = 286.54 × 109.86
  4. Step 4: Simplify right side
    191.16x = 31,477.94
  5. Step 5: Solve for x
    x = 31,477.94/191.16
  6. Step 6: Final answer
    x = 164.67

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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.