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Finding the Fourth Proportional to 150.34, 207.63 and 121.45

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Solution

The fourth proportional to 150.34, 207.63 and 121.45 is: 167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.34 : 207.63 = 121.45 : x
  2. Step 2: Convert to fraction form
    150.34/207.63 = 121.45/x
  3. Step 3: Cross multiply
    150.34x = 207.63 × 121.45
  4. Step 4: Simplify right side
    150.34x = 25,216.66
  5. Step 5: Solve for x
    x = 25,216.66/150.34
  6. Step 6: Final answer
    x = 167.73

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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.