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Finding the Fourth Proportional to 308.64, 425.97 and 214.23

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Solution

The fourth proportional to 308.64, 425.97 and 214.23 is: 295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.64 : 425.97 = 214.23 : x
  2. Step 2: Convert to fraction form
    308.64/425.97 = 214.23/x
  3. Step 3: Cross multiply
    308.64x = 425.97 × 214.23
  4. Step 4: Simplify right side
    308.64x = 91,255.55
  5. Step 5: Solve for x
    x = 91,255.55/308.64
  6. Step 6: Final answer
    x = 295.67

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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.