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Finding the Fourth Proportional to 233.70, 322.44 and 150.85

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Solution

The fourth proportional to 233.70, 322.44 and 150.85 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.70 : 322.44 = 150.85 : x
  2. Step 2: Convert to fraction form
    233.70/322.44 = 150.85/x
  3. Step 3: Cross multiply
    233.70x = 322.44 × 150.85
  4. Step 4: Simplify right side
    233.70x = 48,640.58
  5. Step 5: Solve for x
    x = 48,640.58/233.70
  6. Step 6: Final answer
    x = 208.13

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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.