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Finding the Fourth Proportional to 196.02, 292.62 and 182.35

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Solution

The fourth proportional to 196.02, 292.62 and 182.35 is: 272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.02 : 292.62 = 182.35 : x
  2. Step 2: Convert to fraction form
    196.02/292.62 = 182.35/x
  3. Step 3: Cross multiply
    196.02x = 292.62 × 182.35
  4. Step 4: Simplify right side
    196.02x = 53,356.88
  5. Step 5: Solve for x
    x = 53,356.88/196.02
  6. Step 6: Final answer
    x = 272.21

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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.