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Finding the Fourth Proportional to 235.73, 325.29 and 130.82

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Solution

The fourth proportional to 235.73, 325.29 and 130.82 is: 180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.73 : 325.29 = 130.82 : x
  2. Step 2: Convert to fraction form
    235.73/325.29 = 130.82/x
  3. Step 3: Cross multiply
    235.73x = 325.29 × 130.82
  4. Step 4: Simplify right side
    235.73x = 42,553.53
  5. Step 5: Solve for x
    x = 42,553.53/235.73
  6. Step 6: Final answer
    x = 180.52

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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.