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Finding the Fourth Proportional to 212.09, 292.34 and 178.88

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Solution

The fourth proportional to 212.09, 292.34 and 178.88 is: 246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.09 : 292.34 = 178.88 : x
  2. Step 2: Convert to fraction form
    212.09/292.34 = 178.88/x
  3. Step 3: Cross multiply
    212.09x = 292.34 × 178.88
  4. Step 4: Simplify right side
    212.09x = 52,292.76
  5. Step 5: Solve for x
    x = 52,292.76/212.09
  6. Step 6: Final answer
    x = 246.57

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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.