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Finding the Fourth Proportional to 191.52, 263.61 and 160.09

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Solution

The fourth proportional to 191.52, 263.61 and 160.09 is: 220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.52 : 263.61 = 160.09 : x
  2. Step 2: Convert to fraction form
    191.52/263.61 = 160.09/x
  3. Step 3: Cross multiply
    191.52x = 263.61 × 160.09
  4. Step 4: Simplify right side
    191.52x = 42,200.01
  5. Step 5: Solve for x
    x = 42,200.01/191.52
  6. Step 6: Final answer
    x = 220.35

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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.