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Finding the Fourth Proportional to 191.01, 263.41 and 146.76

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Solution

The fourth proportional to 191.01, 263.41 and 146.76 is: 202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.01 : 263.41 = 146.76 : x
  2. Step 2: Convert to fraction form
    191.01/263.41 = 146.76/x
  3. Step 3: Cross multiply
    191.01x = 263.41 × 146.76
  4. Step 4: Simplify right side
    191.01x = 38,658.05
  5. Step 5: Solve for x
    x = 38,658.05/191.01
  6. Step 6: Final answer
    x = 202.39

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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.