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Finding the Fourth Proportional to 312.00, 429.97 and 223.33

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Solution

The fourth proportional to 312.00, 429.97 and 223.33 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.00 : 429.97 = 223.33 : x
  2. Step 2: Convert to fraction form
    312.00/429.97 = 223.33/x
  3. Step 3: Cross multiply
    312.00x = 429.97 × 223.33
  4. Step 4: Simplify right side
    312.00x = 96,024.63
  5. Step 5: Solve for x
    x = 96,024.63/312.00
  6. Step 6: Final answer
    x = 307.77

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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.