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Finding the Fourth Proportional to 174.96, 263.66 and 157.62

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Solution

The fourth proportional to 174.96, 263.66 and 157.62 is: 237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.96 : 263.66 = 157.62 : x
  2. Step 2: Convert to fraction form
    174.96/263.66 = 157.62/x
  3. Step 3: Cross multiply
    174.96x = 263.66 × 157.62
  4. Step 4: Simplify right side
    174.96x = 41,558.48
  5. Step 5: Solve for x
    x = 41,558.48/174.96
  6. Step 6: Final answer
    x = 237.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.