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Finding the Fourth Proportional to 256.23, 383.91 and 229.98

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Solution

The fourth proportional to 256.23, 383.91 and 229.98 is: 344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.23 : 383.91 = 229.98 : x
  2. Step 2: Convert to fraction form
    256.23/383.91 = 229.98/x
  3. Step 3: Cross multiply
    256.23x = 383.91 × 229.98
  4. Step 4: Simplify right side
    256.23x = 88,291.62
  5. Step 5: Solve for x
    x = 88,291.62/256.23
  6. Step 6: Final answer
    x = 344.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.