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Finding the Fourth Proportional to 213.04, 293.52 and 187.12

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Solution

The fourth proportional to 213.04, 293.52 and 187.12 is: 257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.04 : 293.52 = 187.12 : x
  2. Step 2: Convert to fraction form
    213.04/293.52 = 187.12/x
  3. Step 3: Cross multiply
    213.04x = 293.52 × 187.12
  4. Step 4: Simplify right side
    213.04x = 54,923.46
  5. Step 5: Solve for x
    x = 54,923.46/213.04
  6. Step 6: Final answer
    x = 257.81

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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.