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Finding the Fourth Proportional to 196.83, 271.86 and 155.52

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Solution

The fourth proportional to 196.83, 271.86 and 155.52 is: 214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 271.86 = 155.52 : x
  2. Step 2: Convert to fraction form
    196.83/271.86 = 155.52/x
  3. Step 3: Cross multiply
    196.83x = 271.86 × 155.52
  4. Step 4: Simplify right side
    196.83x = 42,279.08
  5. Step 5: Solve for x
    x = 42,279.08/196.83
  6. Step 6: Final answer
    x = 214.80

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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.