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Finding the Fourth Proportional to 213.48, 294.70 and 139.82

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Solution

The fourth proportional to 213.48, 294.70 and 139.82 is: 193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.48 : 294.70 = 139.82 : x
  2. Step 2: Convert to fraction form
    213.48/294.70 = 139.82/x
  3. Step 3: Cross multiply
    213.48x = 294.70 × 139.82
  4. Step 4: Simplify right side
    213.48x = 41,204.95
  5. Step 5: Solve for x
    x = 41,204.95/213.48
  6. Step 6: Final answer
    x = 193.02

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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.