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Finding the Fourth Proportional to 196.32, 296.04 and 168

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Solution

The fourth proportional to 196.32, 296.04 and 168 is: 253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.32 : 296.04 = 168 : x
  2. Step 2: Convert to fraction form
    196.32/296.04 = 168/x
  3. Step 3: Cross multiply
    196.32x = 296.04 × 168
  4. Step 4: Simplify right side
    196.32x = 49,734.72
  5. Step 5: Solve for x
    x = 49,734.72/196.32
  6. Step 6: Final answer
    x = 253.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.