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Finding the Fourth Proportional to 235.84, 325.28 and 180.48

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Solution

The fourth proportional to 235.84, 325.28 and 180.48 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.84 : 325.28 = 180.48 : x
  2. Step 2: Convert to fraction form
    235.84/325.28 = 180.48/x
  3. Step 3: Cross multiply
    235.84x = 325.28 × 180.48
  4. Step 4: Simplify right side
    235.84x = 58,706.53
  5. Step 5: Solve for x
    x = 58,706.53/235.84
  6. Step 6: Final answer
    x = 248.93

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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.