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Finding the Fourth Proportional to 212.00, 292.63 and 129.16

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Solution

The fourth proportional to 212.00, 292.63 and 129.16 is: 178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.00 : 292.63 = 129.16 : x
  2. Step 2: Convert to fraction form
    212.00/292.63 = 129.16/x
  3. Step 3: Cross multiply
    212.00x = 292.63 × 129.16
  4. Step 4: Simplify right side
    212.00x = 37,795.04
  5. Step 5: Solve for x
    x = 37,795.04/212.00
  6. Step 6: Final answer
    x = 178.28

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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.