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Finding the Fourth Proportional to 290.29, 435.47 and 198.76

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Solution

The fourth proportional to 290.29, 435.47 and 198.76 is: 298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.29 : 435.47 = 198.76 : x
  2. Step 2: Convert to fraction form
    290.29/435.47 = 198.76/x
  3. Step 3: Cross multiply
    290.29x = 435.47 × 198.76
  4. Step 4: Simplify right side
    290.29x = 86,554.02
  5. Step 5: Solve for x
    x = 86,554.02/290.29
  6. Step 6: Final answer
    x = 298.16

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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.