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Finding the Fourth Proportional to 173.47, 238.85 and 159.39

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Solution

The fourth proportional to 173.47, 238.85 and 159.39 is: 219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.47 : 238.85 = 159.39 : x
  2. Step 2: Convert to fraction form
    173.47/238.85 = 159.39/x
  3. Step 3: Cross multiply
    173.47x = 238.85 × 159.39
  4. Step 4: Simplify right side
    173.47x = 38,070.77
  5. Step 5: Solve for x
    x = 38,070.77/173.47
  6. Step 6: Final answer
    x = 219.47

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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.