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Finding the Fourth Proportional to 296.07, 408.93 and 222.72

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Solution

The fourth proportional to 296.07, 408.93 and 222.72 is: 307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.07 : 408.93 = 222.72 : x
  2. Step 2: Convert to fraction form
    296.07/408.93 = 222.72/x
  3. Step 3: Cross multiply
    296.07x = 408.93 × 222.72
  4. Step 4: Simplify right side
    296.07x = 91,076.89
  5. Step 5: Solve for x
    x = 91,076.89/296.07
  6. Step 6: Final answer
    x = 307.62

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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.