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Finding the Fourth Proportional to 212.21, 292.86 and 118.95

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Solution

The fourth proportional to 212.21, 292.86 and 118.95 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.21 : 292.86 = 118.95 : x
  2. Step 2: Convert to fraction form
    212.21/292.86 = 118.95/x
  3. Step 3: Cross multiply
    212.21x = 292.86 × 118.95
  4. Step 4: Simplify right side
    212.21x = 34,836.33
  5. Step 5: Solve for x
    x = 34,836.33/212.21
  6. Step 6: Final answer
    x = 164.16

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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.