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Finding the Fourth Proportional to 271.86, 407.78 and 109.50

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Solution

The fourth proportional to 271.86, 407.78 and 109.50 is: 164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.86 : 407.78 = 109.50 : x
  2. Step 2: Convert to fraction form
    271.86/407.78 = 109.50/x
  3. Step 3: Cross multiply
    271.86x = 407.78 × 109.50
  4. Step 4: Simplify right side
    271.86x = 44,653.15
  5. Step 5: Solve for x
    x = 44,653.15/271.86
  6. Step 6: Final answer
    x = 164.25

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Why These Related Problems?

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