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Finding the Fourth Proportional to 196.83, 293.52 and 192.17

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Solution

The fourth proportional to 196.83, 293.52 and 192.17 is: 286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 293.52 = 192.17 : x
  2. Step 2: Convert to fraction form
    196.83/293.52 = 192.17/x
  3. Step 3: Cross multiply
    196.83x = 293.52 × 192.17
  4. Step 4: Simplify right side
    196.83x = 56,407.19
  5. Step 5: Solve for x
    x = 56,407.19/196.83
  6. Step 6: Final answer
    x = 286.58

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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.