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Finding the Fourth Proportional to 191.03, 263.54 and 142.02

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Solution

The fourth proportional to 191.03, 263.54 and 142.02 is: 195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.03 : 263.54 = 142.02 : x
  2. Step 2: Convert to fraction form
    191.03/263.54 = 142.02/x
  3. Step 3: Cross multiply
    191.03x = 263.54 × 142.02
  4. Step 4: Simplify right side
    191.03x = 37,427.24
  5. Step 5: Solve for x
    x = 37,427.24/191.03
  6. Step 6: Final answer
    x = 195.93

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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.