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Finding the Fourth Proportional to 233.69, 322.47 and 150.80

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Solution

The fourth proportional to 233.69, 322.47 and 150.80 is: 208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.69 : 322.47 = 150.80 : x
  2. Step 2: Convert to fraction form
    233.69/322.47 = 150.80/x
  3. Step 3: Cross multiply
    233.69x = 322.47 × 150.80
  4. Step 4: Simplify right side
    233.69x = 48,626.86
  5. Step 5: Solve for x
    x = 48,626.86/233.69
  6. Step 6: Final answer
    x = 208.09

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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.