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Finding the Fourth Proportional to 235.62, 325.47 and 180.24

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Solution

The fourth proportional to 235.62, 325.47 and 180.24 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.62 : 325.47 = 180.24 : x
  2. Step 2: Convert to fraction form
    235.62/325.47 = 180.24/x
  3. Step 3: Cross multiply
    235.62x = 325.47 × 180.24
  4. Step 4: Simplify right side
    235.62x = 58,662.71
  5. Step 5: Solve for x
    x = 58,662.71/235.62
  6. Step 6: Final answer
    x = 248.97

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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.