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Finding the Fourth Proportional to 212.93, 293.67 and 142.91

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Solution

The fourth proportional to 212.93, 293.67 and 142.91 is: 197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.93 : 293.67 = 142.91 : x
  2. Step 2: Convert to fraction form
    212.93/293.67 = 142.91/x
  3. Step 3: Cross multiply
    212.93x = 293.67 × 142.91
  4. Step 4: Simplify right side
    212.93x = 41,966.91
  5. Step 5: Solve for x
    x = 41,966.91/212.93
  6. Step 6: Final answer
    x = 197.10

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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.