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Finding the Fourth Proportional to 196.08, 292.80 and 160.08

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Solution

The fourth proportional to 196.08, 292.80 and 160.08 is: 239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.08 : 292.80 = 160.08 : x
  2. Step 2: Convert to fraction form
    196.08/292.80 = 160.08/x
  3. Step 3: Cross multiply
    196.08x = 292.80 × 160.08
  4. Step 4: Simplify right side
    196.08x = 46,871.42
  5. Step 5: Solve for x
    x = 46,871.42/196.08
  6. Step 6: Final answer
    x = 239.04

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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.