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Finding the Fourth Proportional to 257.21, 354.54 and 252.35

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Solution

The fourth proportional to 257.21, 354.54 and 252.35 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.21 : 354.54 = 252.35 : x
  2. Step 2: Convert to fraction form
    257.21/354.54 = 252.35/x
  3. Step 3: Cross multiply
    257.21x = 354.54 × 252.35
  4. Step 4: Simplify right side
    257.21x = 89,468.17
  5. Step 5: Solve for x
    x = 89,468.17/257.21
  6. Step 6: Final answer
    x = 347.84

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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.