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Finding the Fourth Proportional to 296.06, 408.65 and 208.98

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Solution

The fourth proportional to 296.06, 408.65 and 208.98 is: 288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 408.65 = 208.98 : x
  2. Step 2: Convert to fraction form
    296.06/408.65 = 208.98/x
  3. Step 3: Cross multiply
    296.06x = 408.65 × 208.98
  4. Step 4: Simplify right side
    296.06x = 85,398.63
  5. Step 5: Solve for x
    x = 85,398.63/296.06
  6. Step 6: Final answer
    x = 288.46

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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.