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Finding the Fourth Proportional to 173.77, 239.12 and 150.35

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Solution

The fourth proportional to 173.77, 239.12 and 150.35 is: 206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.77 : 239.12 = 150.35 : x
  2. Step 2: Convert to fraction form
    173.77/239.12 = 150.35/x
  3. Step 3: Cross multiply
    173.77x = 239.12 × 150.35
  4. Step 4: Simplify right side
    173.77x = 35,950.31
  5. Step 5: Solve for x
    x = 35,950.31/173.77
  6. Step 6: Final answer
    x = 206.89

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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.