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Finding the Fourth Proportional to 176.14, 263.27 and 135.13

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Solution

The fourth proportional to 176.14, 263.27 and 135.13 is: 201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.14 : 263.27 = 135.13 : x
  2. Step 2: Convert to fraction form
    176.14/263.27 = 135.13/x
  3. Step 3: Cross multiply
    176.14x = 263.27 × 135.13
  4. Step 4: Simplify right side
    176.14x = 35,575.68
  5. Step 5: Solve for x
    x = 35,575.68/176.14
  6. Step 6: Final answer
    x = 201.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.