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Finding the Fourth Proportional to 290.61, 435.89 and 98.24

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Solution

The fourth proportional to 290.61, 435.89 and 98.24 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.61 : 435.89 = 98.24 : x
  2. Step 2: Convert to fraction form
    290.61/435.89 = 98.24/x
  3. Step 3: Cross multiply
    290.61x = 435.89 × 98.24
  4. Step 4: Simplify right side
    290.61x = 42,819.90
  5. Step 5: Solve for x
    x = 42,819.90/290.61
  6. Step 6: Final answer
    x = 147.34

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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.