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Finding the Fourth Proportional to 319.95, 441.08 and 214.85

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Solution

The fourth proportional to 319.95, 441.08 and 214.85 is: 296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.95 : 441.08 = 214.85 : x
  2. Step 2: Convert to fraction form
    319.95/441.08 = 214.85/x
  3. Step 3: Cross multiply
    319.95x = 441.08 × 214.85
  4. Step 4: Simplify right side
    319.95x = 94,766.04
  5. Step 5: Solve for x
    x = 94,766.04/319.95
  6. Step 6: Final answer
    x = 296.19

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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.