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Finding the Fourth Proportional to 191.66, 264.41 and 133.48

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Solution

The fourth proportional to 191.66, 264.41 and 133.48 is: 184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.66 : 264.41 = 133.48 : x
  2. Step 2: Convert to fraction form
    191.66/264.41 = 133.48/x
  3. Step 3: Cross multiply
    191.66x = 264.41 × 133.48
  4. Step 4: Simplify right side
    191.66x = 35,292.12
  5. Step 5: Solve for x
    x = 35,292.12/191.66
  6. Step 6: Final answer
    x = 184.14

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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.