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Finding the Fourth Proportional to 336.90, 465.13 and 226.47

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Solution

The fourth proportional to 336.90, 465.13 and 226.47 is: 312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.90 : 465.13 = 226.47 : x
  2. Step 2: Convert to fraction form
    336.90/465.13 = 226.47/x
  3. Step 3: Cross multiply
    336.90x = 465.13 × 226.47
  4. Step 4: Simplify right side
    336.90x = 105,336.86
  5. Step 5: Solve for x
    x = 105,336.86/336.90
  6. Step 6: Final answer
    x = 312.67

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Why These Related Problems?

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