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Finding the Fourth Proportional to 233.57, 322.34 and 189.41

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Solution

The fourth proportional to 233.57, 322.34 and 189.41 is: 261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.57 : 322.34 = 189.41 : x
  2. Step 2: Convert to fraction form
    233.57/322.34 = 189.41/x
  3. Step 3: Cross multiply
    233.57x = 322.34 × 189.41
  4. Step 4: Simplify right side
    233.57x = 61,053.47
  5. Step 5: Solve for x
    x = 61,053.47/233.57
  6. Step 6: Final answer
    x = 261.39

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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.