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Finding the Fourth Proportional to 235.61, 325.17 and 142.37

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Solution

The fourth proportional to 235.61, 325.17 and 142.37 is: 196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.61 : 325.17 = 142.37 : x
  2. Step 2: Convert to fraction form
    235.61/325.17 = 142.37/x
  3. Step 3: Cross multiply
    235.61x = 325.17 × 142.37
  4. Step 4: Simplify right side
    235.61x = 46,294.45
  5. Step 5: Solve for x
    x = 46,294.45/235.61
  6. Step 6: Final answer
    x = 196.49

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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.