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Finding the Fourth Proportional to 191.77, 264.64 and 114.13

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Solution

The fourth proportional to 191.77, 264.64 and 114.13 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.77 : 264.64 = 114.13 : x
  2. Step 2: Convert to fraction form
    191.77/264.64 = 114.13/x
  3. Step 3: Cross multiply
    191.77x = 264.64 × 114.13
  4. Step 4: Simplify right side
    191.77x = 30,201.75
  5. Step 5: Solve for x
    x = 30,201.75/191.77
  6. Step 6: Final answer
    x = 157.49

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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.