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Finding the Fourth Proportional to 235.56, 325.68 and 180.21

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Solution

The fourth proportional to 235.56, 325.68 and 180.21 is: 249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.56 : 325.68 = 180.21 : x
  2. Step 2: Convert to fraction form
    235.56/325.68 = 180.21/x
  3. Step 3: Cross multiply
    235.56x = 325.68 × 180.21
  4. Step 4: Simplify right side
    235.56x = 58,690.79
  5. Step 5: Solve for x
    x = 58,690.79/235.56
  6. Step 6: Final answer
    x = 249.15

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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.