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Finding the Fourth Proportional to 256.58, 352.19 and 228.34

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Solution

The fourth proportional to 256.58, 352.19 and 228.34 is: 313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.58 : 352.19 = 228.34 : x
  2. Step 2: Convert to fraction form
    256.58/352.19 = 228.34/x
  3. Step 3: Cross multiply
    256.58x = 352.19 × 228.34
  4. Step 4: Simplify right side
    256.58x = 80,419.06
  5. Step 5: Solve for x
    x = 80,419.06/256.58
  6. Step 6: Final answer
    x = 313.43

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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.