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Finding the Fourth Proportional to 256.10, 382.17 and 228.75

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Solution

The fourth proportional to 256.10, 382.17 and 228.75 is: 341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.10 : 382.17 = 228.75 : x
  2. Step 2: Convert to fraction form
    256.10/382.17 = 228.75/x
  3. Step 3: Cross multiply
    256.10x = 382.17 × 228.75
  4. Step 4: Simplify right side
    256.10x = 87,421.39
  5. Step 5: Solve for x
    x = 87,421.39/256.10
  6. Step 6: Final answer
    x = 341.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.