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Finding the Fourth Proportional to 212.55, 293.68 and 189.03

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Solution

The fourth proportional to 212.55, 293.68 and 189.03 is: 261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.55 : 293.68 = 189.03 : x
  2. Step 2: Convert to fraction form
    212.55/293.68 = 189.03/x
  3. Step 3: Cross multiply
    212.55x = 293.68 × 189.03
  4. Step 4: Simplify right side
    212.55x = 55,514.72
  5. Step 5: Solve for x
    x = 55,514.72/212.55
  6. Step 6: Final answer
    x = 261.18

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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.