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Finding the Fourth Proportional to 275.36, 380.14 and 202.26

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Solution

The fourth proportional to 275.36, 380.14 and 202.26 is: 279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.36 : 380.14 = 202.26 : x
  2. Step 2: Convert to fraction form
    275.36/380.14 = 202.26/x
  3. Step 3: Cross multiply
    275.36x = 380.14 × 202.26
  4. Step 4: Simplify right side
    275.36x = 76,887.12
  5. Step 5: Solve for x
    x = 76,887.12/275.36
  6. Step 6: Final answer
    x = 279.22

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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.