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Finding the Fourth Proportional to 196.42, 292.62 and 184

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Solution

The fourth proportional to 196.42, 292.62 and 184 is: 274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.42 : 292.62 = 184 : x
  2. Step 2: Convert to fraction form
    196.42/292.62 = 184/x
  3. Step 3: Cross multiply
    196.42x = 292.62 × 184
  4. Step 4: Simplify right side
    196.42x = 53,842.08
  5. Step 5: Solve for x
    x = 53,842.08/196.42
  6. Step 6: Final answer
    x = 274.12

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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.