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Finding the Fourth Proportional to 254.52, 351.60 and 202.40

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Solution

The fourth proportional to 254.52, 351.60 and 202.40 is: 279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.52 : 351.60 = 202.40 : x
  2. Step 2: Convert to fraction form
    254.52/351.60 = 202.40/x
  3. Step 3: Cross multiply
    254.52x = 351.60 × 202.40
  4. Step 4: Simplify right side
    254.52x = 71,163.84
  5. Step 5: Solve for x
    x = 71,163.84/254.52
  6. Step 6: Final answer
    x = 279.60

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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.