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Finding the Fourth Proportional to 191.30, 263.78 and 147.54

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Solution

The fourth proportional to 191.30, 263.78 and 147.54 is: 203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.30 : 263.78 = 147.54 : x
  2. Step 2: Convert to fraction form
    191.30/263.78 = 147.54/x
  3. Step 3: Cross multiply
    191.30x = 263.78 × 147.54
  4. Step 4: Simplify right side
    191.30x = 38,918.10
  5. Step 5: Solve for x
    x = 38,918.10/191.30
  6. Step 6: Final answer
    x = 203.44

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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.