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Finding the Fourth Proportional to 271.77, 374.85 and 188.85

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Solution

The fourth proportional to 271.77, 374.85 and 188.85 is: 260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.77 : 374.85 = 188.85 : x
  2. Step 2: Convert to fraction form
    271.77/374.85 = 188.85/x
  3. Step 3: Cross multiply
    271.77x = 374.85 × 188.85
  4. Step 4: Simplify right side
    271.77x = 70,790.42
  5. Step 5: Solve for x
    x = 70,790.42/271.77
  6. Step 6: Final answer
    x = 260.48

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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.