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Finding the Fourth Proportional to 212.58, 293.16 and 192.06

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Solution

The fourth proportional to 212.58, 293.16 and 192.06 is: 264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.58 : 293.16 = 192.06 : x
  2. Step 2: Convert to fraction form
    212.58/293.16 = 192.06/x
  3. Step 3: Cross multiply
    212.58x = 293.16 × 192.06
  4. Step 4: Simplify right side
    212.58x = 56,304.31
  5. Step 5: Solve for x
    x = 56,304.31/212.58
  6. Step 6: Final answer
    x = 264.86

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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.