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Finding the Fourth Proportional to 212.70, 293.80 and 185.42

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Solution

The fourth proportional to 212.70, 293.80 and 185.42 is: 256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.70 : 293.80 = 185.42 : x
  2. Step 2: Convert to fraction form
    212.70/293.80 = 185.42/x
  3. Step 3: Cross multiply
    212.70x = 293.80 × 185.42
  4. Step 4: Simplify right side
    212.70x = 54,476.40
  5. Step 5: Solve for x
    x = 54,476.40/212.70
  6. Step 6: Final answer
    x = 256.12

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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.