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Finding the Fourth Proportional to 306.25, 422.13 and 223.23

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Solution

The fourth proportional to 306.25, 422.13 and 223.23 is: 307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.25 : 422.13 = 223.23 : x
  2. Step 2: Convert to fraction form
    306.25/422.13 = 223.23/x
  3. Step 3: Cross multiply
    306.25x = 422.13 × 223.23
  4. Step 4: Simplify right side
    306.25x = 94,232.08
  5. Step 5: Solve for x
    x = 94,232.08/306.25
  6. Step 6: Final answer
    x = 307.70

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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.