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Finding the Fourth Proportional to 173.76, 239.40 and 166.08

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Solution

The fourth proportional to 173.76, 239.40 and 166.08 is: 228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.76 : 239.40 = 166.08 : x
  2. Step 2: Convert to fraction form
    173.76/239.40 = 166.08/x
  3. Step 3: Cross multiply
    173.76x = 239.40 × 166.08
  4. Step 4: Simplify right side
    173.76x = 39,759.55
  5. Step 5: Solve for x
    x = 39,759.55/173.76
  6. Step 6: Final answer
    x = 228.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.