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Finding the Fourth Proportional to 233.06, 321.45 and 150.11

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Solution

The fourth proportional to 233.06, 321.45 and 150.11 is: 207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 321.45 = 150.11 : x
  2. Step 2: Convert to fraction form
    233.06/321.45 = 150.11/x
  3. Step 3: Cross multiply
    233.06x = 321.45 × 150.11
  4. Step 4: Simplify right side
    233.06x = 48,251.25
  5. Step 5: Solve for x
    x = 48,251.25/233.06
  6. Step 6: Final answer
    x = 207.04

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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.