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Finding the Fourth Proportional to 213.41, 294.54 and 147.86

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Solution

The fourth proportional to 213.41, 294.54 and 147.86 is: 204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.41 : 294.54 = 147.86 : x
  2. Step 2: Convert to fraction form
    213.41/294.54 = 147.86/x
  3. Step 3: Cross multiply
    213.41x = 294.54 × 147.86
  4. Step 4: Simplify right side
    213.41x = 43,550.68
  5. Step 5: Solve for x
    x = 43,550.68/213.41
  6. Step 6: Final answer
    x = 204.07

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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.