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Finding the Fourth Proportional to 191.72, 264.45 and 145.27

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Solution

The fourth proportional to 191.72, 264.45 and 145.27 is: 200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.72 : 264.45 = 145.27 : x
  2. Step 2: Convert to fraction form
    191.72/264.45 = 145.27/x
  3. Step 3: Cross multiply
    191.72x = 264.45 × 145.27
  4. Step 4: Simplify right side
    191.72x = 38,416.58
  5. Step 5: Solve for x
    x = 38,416.58/191.72
  6. Step 6: Final answer
    x = 200.38

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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.