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Finding the Fourth Proportional to 196.32, 292.94 and 179.04

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Solution

The fourth proportional to 196.32, 292.94 and 179.04 is: 267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.32 : 292.94 = 179.04 : x
  2. Step 2: Convert to fraction form
    196.32/292.94 = 179.04/x
  3. Step 3: Cross multiply
    196.32x = 292.94 × 179.04
  4. Step 4: Simplify right side
    196.32x = 52,447.98
  5. Step 5: Solve for x
    x = 52,447.98/196.32
  6. Step 6: Final answer
    x = 267.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.