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Finding the Fourth Proportional to 191.30, 263.54 and 135.94

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Solution

The fourth proportional to 191.30, 263.54 and 135.94 is: 187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.30 : 263.54 = 135.94 : x
  2. Step 2: Convert to fraction form
    191.30/263.54 = 135.94/x
  3. Step 3: Cross multiply
    191.30x = 263.54 × 135.94
  4. Step 4: Simplify right side
    191.30x = 35,825.63
  5. Step 5: Solve for x
    x = 35,825.63/191.30
  6. Step 6: Final answer
    x = 187.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.