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Finding the Fourth Proportional to 290.99, 402.08 and 207.95

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Solution

The fourth proportional to 290.99, 402.08 and 207.95 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.99 : 402.08 = 207.95 : x
  2. Step 2: Convert to fraction form
    290.99/402.08 = 207.95/x
  3. Step 3: Cross multiply
    290.99x = 402.08 × 207.95
  4. Step 4: Simplify right side
    290.99x = 83,609.49
  5. Step 5: Solve for x
    x = 83,609.49/290.99
  6. Step 6: Final answer
    x = 287.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.