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Finding the Fourth Proportional to 196.90, 271.80 and 123.24

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Solution

The fourth proportional to 196.90, 271.80 and 123.24 is: 170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 271.80 = 123.24 : x
  2. Step 2: Convert to fraction form
    196.90/271.80 = 123.24/x
  3. Step 3: Cross multiply
    196.90x = 271.80 × 123.24
  4. Step 4: Simplify right side
    196.90x = 33,496.63
  5. Step 5: Solve for x
    x = 33,496.63/196.90
  6. Step 6: Final answer
    x = 170.12

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