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Finding the Fourth Proportional to 212.02, 292.51 and 129.14

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Solution

The fourth proportional to 212.02, 292.51 and 129.14 is: 178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.02 : 292.51 = 129.14 : x
  2. Step 2: Convert to fraction form
    212.02/292.51 = 129.14/x
  3. Step 3: Cross multiply
    212.02x = 292.51 × 129.14
  4. Step 4: Simplify right side
    212.02x = 37,776.18
  5. Step 5: Solve for x
    x = 37,776.18/212.02
  6. Step 6: Final answer
    x = 178.17

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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.