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Finding the Fourth Proportional to 196.44, 292.90 and 184.02

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Solution

The fourth proportional to 196.44, 292.90 and 184.02 is: 274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.44 : 292.90 = 184.02 : x
  2. Step 2: Convert to fraction form
    196.44/292.90 = 184.02/x
  3. Step 3: Cross multiply
    196.44x = 292.90 × 184.02
  4. Step 4: Simplify right side
    196.44x = 53,899.46
  5. Step 5: Solve for x
    x = 53,899.46/196.44
  6. Step 6: Final answer
    x = 274.38

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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.