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Finding the Fourth Proportional to 271.71, 407.57 and 109.35

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Solution

The fourth proportional to 271.71, 407.57 and 109.35 is: 164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.71 : 407.57 = 109.35 : x
  2. Step 2: Convert to fraction form
    271.71/407.57 = 109.35/x
  3. Step 3: Cross multiply
    271.71x = 407.57 × 109.35
  4. Step 4: Simplify right side
    271.71x = 44,567.23
  5. Step 5: Solve for x
    x = 44,567.23/271.71
  6. Step 6: Final answer
    x = 164.03

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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.