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Finding the Fourth Proportional to 275.50, 380 and 177.22

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Solution

The fourth proportional to 275.50, 380 and 177.22 is: 244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.50 : 380 = 177.22 : x
  2. Step 2: Convert to fraction form
    275.50/380 = 177.22/x
  3. Step 3: Cross multiply
    275.50x = 380 × 177.22
  4. Step 4: Simplify right side
    275.50x = 67,343.60
  5. Step 5: Solve for x
    x = 67,343.60/275.50
  6. Step 6: Final answer
    x = 244.44

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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.