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Finding the Fourth Proportional to 196.19, 270.47 and 162.87

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Solution

The fourth proportional to 196.19, 270.47 and 162.87 is: 224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.19 : 270.47 = 162.87 : x
  2. Step 2: Convert to fraction form
    196.19/270.47 = 162.87/x
  3. Step 3: Cross multiply
    196.19x = 270.47 × 162.87
  4. Step 4: Simplify right side
    196.19x = 44,050.63
  5. Step 5: Solve for x
    x = 44,050.63/196.19
  6. Step 6: Final answer
    x = 224.54

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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.