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Finding the Fourth Proportional to 233.26, 322.07 and 150.42

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Solution

The fourth proportional to 233.26, 322.07 and 150.42 is: 207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.26 : 322.07 = 150.42 : x
  2. Step 2: Convert to fraction form
    233.26/322.07 = 150.42/x
  3. Step 3: Cross multiply
    233.26x = 322.07 × 150.42
  4. Step 4: Simplify right side
    233.26x = 48,444.94
  5. Step 5: Solve for x
    x = 48,444.94/233.26
  6. Step 6: Final answer
    x = 207.69

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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.