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Finding the Fourth Proportional to 191.61, 264.27 and 126.00

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Solution

The fourth proportional to 191.61, 264.27 and 126.00 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.61 : 264.27 = 126.00 : x
  2. Step 2: Convert to fraction form
    191.61/264.27 = 126.00/x
  3. Step 3: Cross multiply
    191.61x = 264.27 × 126.00
  4. Step 4: Simplify right side
    191.61x = 33,298.68
  5. Step 5: Solve for x
    x = 33,298.68/191.61
  6. Step 6: Final answer
    x = 173.78

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