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Finding the Fourth Proportional to 212.01, 292.42 and 194.58

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Solution

The fourth proportional to 212.01, 292.42 and 194.58 is: 268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.01 : 292.42 = 194.58 : x
  2. Step 2: Convert to fraction form
    212.01/292.42 = 194.58/x
  3. Step 3: Cross multiply
    212.01x = 292.42 × 194.58
  4. Step 4: Simplify right side
    212.01x = 56,899.08
  5. Step 5: Solve for x
    x = 56,899.08/212.01
  6. Step 6: Final answer
    x = 268.38

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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.