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Finding the Fourth Proportional to 212.61, 293.48 and 142.65

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Solution

The fourth proportional to 212.61, 293.48 and 142.65 is: 196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.61 : 293.48 = 142.65 : x
  2. Step 2: Convert to fraction form
    212.61/293.48 = 142.65/x
  3. Step 3: Cross multiply
    212.61x = 293.48 × 142.65
  4. Step 4: Simplify right side
    212.61x = 41,864.74
  5. Step 5: Solve for x
    x = 41,864.74/212.61
  6. Step 6: Final answer
    x = 196.91

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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.