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Finding the Fourth Proportional to 196.76, 271.54 and 119.16

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Solution

The fourth proportional to 196.76, 271.54 and 119.16 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.76 : 271.54 = 119.16 : x
  2. Step 2: Convert to fraction form
    196.76/271.54 = 119.16/x
  3. Step 3: Cross multiply
    196.76x = 271.54 × 119.16
  4. Step 4: Simplify right side
    196.76x = 32,356.71
  5. Step 5: Solve for x
    x = 32,356.71/196.76
  6. Step 6: Final answer
    x = 164.45

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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.