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Finding the Fourth Proportional to 191.83, 264.34 and 133.51

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Solution

The fourth proportional to 191.83, 264.34 and 133.51 is: 183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.83 : 264.34 = 133.51 : x
  2. Step 2: Convert to fraction form
    191.83/264.34 = 133.51/x
  3. Step 3: Cross multiply
    191.83x = 264.34 × 133.51
  4. Step 4: Simplify right side
    191.83x = 35,291.04
  5. Step 5: Solve for x
    x = 35,291.04/191.83
  6. Step 6: Final answer
    x = 183.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.