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Finding the Fourth Proportional to 213.01, 293.74 and 143.08

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Solution

The fourth proportional to 213.01, 293.74 and 143.08 is: 197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.01 : 293.74 = 143.08 : x
  2. Step 2: Convert to fraction form
    213.01/293.74 = 143.08/x
  3. Step 3: Cross multiply
    213.01x = 293.74 × 143.08
  4. Step 4: Simplify right side
    213.01x = 42,028.32
  5. Step 5: Solve for x
    x = 42,028.32/213.01
  6. Step 6: Final answer
    x = 197.31

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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.