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Finding the Fourth Proportional to 176.57, 241.99 and 174.49

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Solution

The fourth proportional to 176.57, 241.99 and 174.49 is: 239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.57 : 241.99 = 174.49 : x
  2. Step 2: Convert to fraction form
    176.57/241.99 = 174.49/x
  3. Step 3: Cross multiply
    176.57x = 241.99 × 174.49
  4. Step 4: Simplify right side
    176.57x = 42,224.84
  5. Step 5: Solve for x
    x = 42,224.84/176.57
  6. Step 6: Final answer
    x = 239.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.