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Finding the Fourth Proportional to 212.51, 293.14 and 129.63

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Solution

The fourth proportional to 212.51, 293.14 and 129.63 is: 178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.51 : 293.14 = 129.63 : x
  2. Step 2: Convert to fraction form
    212.51/293.14 = 129.63/x
  3. Step 3: Cross multiply
    212.51x = 293.14 × 129.63
  4. Step 4: Simplify right side
    212.51x = 37,999.41
  5. Step 5: Solve for x
    x = 37,999.41/212.51
  6. Step 6: Final answer
    x = 178.82

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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.