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Finding the Fourth Proportional to 257.36, 353.44 and 228.24

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Solution

The fourth proportional to 257.36, 353.44 and 228.24 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.36 : 353.44 = 228.24 : x
  2. Step 2: Convert to fraction form
    257.36/353.44 = 228.24/x
  3. Step 3: Cross multiply
    257.36x = 353.44 × 228.24
  4. Step 4: Simplify right side
    257.36x = 80,669.15
  5. Step 5: Solve for x
    x = 80,669.15/257.36
  6. Step 6: Final answer
    x = 313.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.