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Finding the Fourth Proportional to 290.71, 435.85 and 198.19

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Solution

The fourth proportional to 290.71, 435.85 and 198.19 is: 297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.71 : 435.85 = 198.19 : x
  2. Step 2: Convert to fraction form
    290.71/435.85 = 198.19/x
  3. Step 3: Cross multiply
    290.71x = 435.85 × 198.19
  4. Step 4: Simplify right side
    290.71x = 86,381.11
  5. Step 5: Solve for x
    x = 86,381.11/290.71
  6. Step 6: Final answer
    x = 297.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.