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Finding the Fourth Proportional to 143.52, 216.35 and 119.63

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Solution

The fourth proportional to 143.52, 216.35 and 119.63 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.52 : 216.35 = 119.63 : x
  2. Step 2: Convert to fraction form
    143.52/216.35 = 119.63/x
  3. Step 3: Cross multiply
    143.52x = 216.35 × 119.63
  4. Step 4: Simplify right side
    143.52x = 25,880.27
  5. Step 5: Solve for x
    x = 25,880.27/143.52
  6. Step 6: Final answer
    x = 180.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.