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Finding the Fourth Proportional to 212.47, 293.05 and 142.51

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Solution

The fourth proportional to 212.47, 293.05 and 142.51 is: 196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.47 : 293.05 = 142.51 : x
  2. Step 2: Convert to fraction form
    212.47/293.05 = 142.51/x
  3. Step 3: Cross multiply
    212.47x = 293.05 × 142.51
  4. Step 4: Simplify right side
    212.47x = 41,762.56
  5. Step 5: Solve for x
    x = 41,762.56/212.47
  6. Step 6: Final answer
    x = 196.56

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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.