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Finding the Fourth Proportional to 175.54, 262.01 and 157.27

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Solution

The fourth proportional to 175.54, 262.01 and 157.27 is: 234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.54 : 262.01 = 157.27 : x
  2. Step 2: Convert to fraction form
    175.54/262.01 = 157.27/x
  3. Step 3: Cross multiply
    175.54x = 262.01 × 157.27
  4. Step 4: Simplify right side
    175.54x = 41,206.31
  5. Step 5: Solve for x
    x = 41,206.31/175.54
  6. Step 6: Final answer
    x = 234.74

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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.