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Finding the Fourth Proportional to 254.16, 351.52 and 202.22

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Solution

The fourth proportional to 254.16, 351.52 and 202.22 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 351.52 = 202.22 : x
  2. Step 2: Convert to fraction form
    254.16/351.52 = 202.22/x
  3. Step 3: Cross multiply
    254.16x = 351.52 × 202.22
  4. Step 4: Simplify right side
    254.16x = 71,084.37
  5. Step 5: Solve for x
    x = 71,084.37/254.16
  6. Step 6: Final answer
    x = 279.68

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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.