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Finding the Fourth Proportional to 176.08, 262.75 and 157.92

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Solution

The fourth proportional to 176.08, 262.75 and 157.92 is: 235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.08 : 262.75 = 157.92 : x
  2. Step 2: Convert to fraction form
    176.08/262.75 = 157.92/x
  3. Step 3: Cross multiply
    176.08x = 262.75 × 157.92
  4. Step 4: Simplify right side
    176.08x = 41,493.48
  5. Step 5: Solve for x
    x = 41,493.48/176.08
  6. Step 6: Final answer
    x = 235.65

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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.