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Finding the Fourth Proportional to 191.72, 264.22 and 177.02

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Solution

The fourth proportional to 191.72, 264.22 and 177.02 is: 243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.72 : 264.22 = 177.02 : x
  2. Step 2: Convert to fraction form
    191.72/264.22 = 177.02/x
  3. Step 3: Cross multiply
    191.72x = 264.22 × 177.02
  4. Step 4: Simplify right side
    191.72x = 46,770.46
  5. Step 5: Solve for x
    x = 46,770.46/191.72
  6. Step 6: Final answer
    x = 243.95

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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.