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Finding the Fourth Proportional to 212.17, 292.80 and 118.93

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Solution

The fourth proportional to 212.17, 292.80 and 118.93 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.17 : 292.80 = 118.93 : x
  2. Step 2: Convert to fraction form
    212.17/292.80 = 118.93/x
  3. Step 3: Cross multiply
    212.17x = 292.80 × 118.93
  4. Step 4: Simplify right side
    212.17x = 34,821.24
  5. Step 5: Solve for x
    x = 34,821.24/212.17
  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.