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Finding the Fourth Proportional to 235.66, 325.28 and 142.42

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Solution

The fourth proportional to 235.66, 325.28 and 142.42 is: 196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.66 : 325.28 = 142.42 : x
  2. Step 2: Convert to fraction form
    235.66/325.28 = 142.42/x
  3. Step 3: Cross multiply
    235.66x = 325.28 × 142.42
  4. Step 4: Simplify right side
    235.66x = 46,326.38
  5. Step 5: Solve for x
    x = 46,326.38/235.66
  6. Step 6: Final answer
    x = 196.58

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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.