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Finding the Fourth Proportional to 147.45, 219.66 and 143.19

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Solution

The fourth proportional to 147.45, 219.66 and 143.19 is: 213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.45 : 219.66 = 143.19 : x
  2. Step 2: Convert to fraction form
    147.45/219.66 = 143.19/x
  3. Step 3: Cross multiply
    147.45x = 219.66 × 143.19
  4. Step 4: Simplify right side
    147.45x = 31,453.12
  5. Step 5: Solve for x
    x = 31,453.12/147.45
  6. Step 6: Final answer
    x = 213.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.