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Finding the Fourth Proportional to 271.84, 375.10 and 161.25

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Solution

The fourth proportional to 271.84, 375.10 and 161.25 is: 222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.84 : 375.10 = 161.25 : x
  2. Step 2: Convert to fraction form
    271.84/375.10 = 161.25/x
  3. Step 3: Cross multiply
    271.84x = 375.10 × 161.25
  4. Step 4: Simplify right side
    271.84x = 60,483.07
  5. Step 5: Solve for x
    x = 60,483.07/271.84
  6. Step 6: Final answer
    x = 222.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.