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Finding the Fourth Proportional to 213.06, 293.79 and 143.10

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Solution

The fourth proportional to 213.06, 293.79 and 143.10 is: 197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.06 : 293.79 = 143.10 : x
  2. Step 2: Convert to fraction form
    213.06/293.79 = 143.10/x
  3. Step 3: Cross multiply
    213.06x = 293.79 × 143.10
  4. Step 4: Simplify right side
    213.06x = 42,041.35
  5. Step 5: Solve for x
    x = 42,041.35/213.06
  6. Step 6: Final answer
    x = 197.32

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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.