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Finding the Fourth Proportional to 233.07, 321.50 and 150.05

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Solution

The fourth proportional to 233.07, 321.50 and 150.05 is: 206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.07 : 321.50 = 150.05 : x
  2. Step 2: Convert to fraction form
    233.07/321.50 = 150.05/x
  3. Step 3: Cross multiply
    233.07x = 321.50 × 150.05
  4. Step 4: Simplify right side
    233.07x = 48,238.72
  5. Step 5: Solve for x
    x = 48,238.72/233.07
  6. Step 6: Final answer
    x = 206.97

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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.