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Finding the Fourth Proportional to 271.60, 407.49 and 190.39

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Solution

The fourth proportional to 271.60, 407.49 and 190.39 is: 285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.60 : 407.49 = 190.39 : x
  2. Step 2: Convert to fraction form
    271.60/407.49 = 190.39/x
  3. Step 3: Cross multiply
    271.60x = 407.49 × 190.39
  4. Step 4: Simplify right side
    271.60x = 77,582.02
  5. Step 5: Solve for x
    x = 77,582.02/271.60
  6. Step 6: Final answer
    x = 285.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.