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Finding the Fourth Proportional to 212.18, 292.81 and 118.93

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Solution

The fourth proportional to 212.18, 292.81 and 118.93 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.18 : 292.81 = 118.93 : x
  2. Step 2: Convert to fraction form
    212.18/292.81 = 118.93/x
  3. Step 3: Cross multiply
    212.18x = 292.81 × 118.93
  4. Step 4: Simplify right side
    212.18x = 34,822.48
  5. Step 5: Solve for x
    x = 34,822.48/212.18
  6. Step 6: Final answer
    x = 164.12

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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.