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Finding the Fourth Proportional to 173.40, 238.62 and 150.12

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Solution

The fourth proportional to 173.40, 238.62 and 150.12 is: 206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.40 : 238.62 = 150.12 : x
  2. Step 2: Convert to fraction form
    173.40/238.62 = 150.12/x
  3. Step 3: Cross multiply
    173.40x = 238.62 × 150.12
  4. Step 4: Simplify right side
    173.40x = 35,821.63
  5. Step 5: Solve for x
    x = 35,821.63/173.40
  6. Step 6: Final answer
    x = 206.58

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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.