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Finding the Fourth Proportional to 296.94, 409.45 and 223.12

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Solution

The fourth proportional to 296.94, 409.45 and 223.12 is: 307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.94 : 409.45 = 223.12 : x
  2. Step 2: Convert to fraction form
    296.94/409.45 = 223.12/x
  3. Step 3: Cross multiply
    296.94x = 409.45 × 223.12
  4. Step 4: Simplify right side
    296.94x = 91,356.48
  5. Step 5: Solve for x
    x = 91,356.48/296.94
  6. Step 6: Final answer
    x = 307.66

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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.