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Finding the Fourth Proportional to 212.29, 292.94 and 125.02

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Solution

The fourth proportional to 212.29, 292.94 and 125.02 is: 172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.29 : 292.94 = 125.02 : x
  2. Step 2: Convert to fraction form
    212.29/292.94 = 125.02/x
  3. Step 3: Cross multiply
    212.29x = 292.94 × 125.02
  4. Step 4: Simplify right side
    212.29x = 36,623.36
  5. Step 5: Solve for x
    x = 36,623.36/212.29
  6. Step 6: Final answer
    x = 172.52

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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.