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Finding the Fourth Proportional to 254.64, 351.34 and 202.35

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Solution

The fourth proportional to 254.64, 351.34 and 202.35 is: 279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.64 : 351.34 = 202.35 : x
  2. Step 2: Convert to fraction form
    254.64/351.34 = 202.35/x
  3. Step 3: Cross multiply
    254.64x = 351.34 × 202.35
  4. Step 4: Simplify right side
    254.64x = 71,095.99
  5. Step 5: Solve for x
    x = 71,095.99/254.64
  6. Step 6: Final answer
    x = 279.20

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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.