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Finding the Fourth Proportional to 174.16, 262.54 and 160.24

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Solution

The fourth proportional to 174.16, 262.54 and 160.24 is: 241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.16 : 262.54 = 160.24 : x
  2. Step 2: Convert to fraction form
    174.16/262.54 = 160.24/x
  3. Step 3: Cross multiply
    174.16x = 262.54 × 160.24
  4. Step 4: Simplify right side
    174.16x = 42,069.41
  5. Step 5: Solve for x
    x = 42,069.41/174.16
  6. Step 6: Final answer
    x = 241.56

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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.