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Finding the Fourth Proportional to 213.10, 294.62 and 148.08

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Solution

The fourth proportional to 213.10, 294.62 and 148.08 is: 204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.10 : 294.62 = 148.08 : x
  2. Step 2: Convert to fraction form
    213.10/294.62 = 148.08/x
  3. Step 3: Cross multiply
    213.10x = 294.62 × 148.08
  4. Step 4: Simplify right side
    213.10x = 43,627.33
  5. Step 5: Solve for x
    x = 43,627.33/213.10
  6. Step 6: Final answer
    x = 204.73

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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.