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Finding the Fourth Proportional to 196.56, 271.49 and 152.82

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Solution

The fourth proportional to 196.56, 271.49 and 152.82 is: 211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.56 : 271.49 = 152.82 : x
  2. Step 2: Convert to fraction form
    196.56/271.49 = 152.82/x
  3. Step 3: Cross multiply
    196.56x = 271.49 × 152.82
  4. Step 4: Simplify right side
    196.56x = 41,488.34
  5. Step 5: Solve for x
    x = 41,488.34/196.56
  6. Step 6: Final answer
    x = 211.07

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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.