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Finding the Fourth Proportional to 271.70, 407.48 and 109.50

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Solution

The fourth proportional to 271.70, 407.48 and 109.50 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.70 : 407.48 = 109.50 : x
  2. Step 2: Convert to fraction form
    271.70/407.48 = 109.50/x
  3. Step 3: Cross multiply
    271.70x = 407.48 × 109.50
  4. Step 4: Simplify right side
    271.70x = 44,618.51
  5. Step 5: Solve for x
    x = 44,618.51/271.70
  6. Step 6: Final answer
    x = 164.22

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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.