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Finding the Fourth Proportional to 196.14, 270.41 and 156.93

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Solution

The fourth proportional to 196.14, 270.41 and 156.93 is: 216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 270.41 = 156.93 : x
  2. Step 2: Convert to fraction form
    196.14/270.41 = 156.93/x
  3. Step 3: Cross multiply
    196.14x = 270.41 × 156.93
  4. Step 4: Simplify right side
    196.14x = 42,434.66
  5. Step 5: Solve for x
    x = 42,434.66/196.14
  6. Step 6: Final answer
    x = 216.35

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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.