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Finding the Fourth Proportional to 176.47, 241.75 and 174.50

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Solution

The fourth proportional to 176.47, 241.75 and 174.50 is: 239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.47 : 241.75 = 174.50 : x
  2. Step 2: Convert to fraction form
    176.47/241.75 = 174.50/x
  3. Step 3: Cross multiply
    176.47x = 241.75 × 174.50
  4. Step 4: Simplify right side
    176.47x = 42,183.73
  5. Step 5: Solve for x
    x = 42,183.73/176.47
  6. Step 6: Final answer
    x = 239.04

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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.