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Finding the Fourth Proportional to 256.90, 354.82 and 229.28

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Solution

The fourth proportional to 256.90, 354.82 and 229.28 is: 316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.90 : 354.82 = 229.28 : x
  2. Step 2: Convert to fraction form
    256.90/354.82 = 229.28/x
  3. Step 3: Cross multiply
    256.90x = 354.82 × 229.28
  4. Step 4: Simplify right side
    256.90x = 81,353.13
  5. Step 5: Solve for x
    x = 81,353.13/256.90
  6. Step 6: Final answer
    x = 316.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.