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Finding the Fourth Proportional to 196.96, 293.48 and 184.80

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Solution

The fourth proportional to 196.96, 293.48 and 184.80 is: 275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.96 : 293.48 = 184.80 : x
  2. Step 2: Convert to fraction form
    196.96/293.48 = 184.80/x
  3. Step 3: Cross multiply
    196.96x = 293.48 × 184.80
  4. Step 4: Simplify right side
    196.96x = 54,235.10
  5. Step 5: Solve for x
    x = 54,235.10/196.96
  6. Step 6: Final answer
    x = 275.36

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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.