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Finding the Fourth Proportional to 196.31, 270.64 and 162.99

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Solution

The fourth proportional to 196.31, 270.64 and 162.99 is: 224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 270.64 = 162.99 : x
  2. Step 2: Convert to fraction form
    196.31/270.64 = 162.99/x
  3. Step 3: Cross multiply
    196.31x = 270.64 × 162.99
  4. Step 4: Simplify right side
    196.31x = 44,111.61
  5. Step 5: Solve for x
    x = 44,111.61/196.31
  6. Step 6: Final answer
    x = 224.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.