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Finding the Fourth Proportional to 235.88, 325.28 and 180.01

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Solution

The fourth proportional to 235.88, 325.28 and 180.01 is: 248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.88 : 325.28 = 180.01 : x
  2. Step 2: Convert to fraction form
    235.88/325.28 = 180.01/x
  3. Step 3: Cross multiply
    235.88x = 325.28 × 180.01
  4. Step 4: Simplify right side
    235.88x = 58,552.68
  5. Step 5: Solve for x
    x = 58,552.68/235.88
  6. Step 6: Final answer
    x = 248.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.