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Finding the Fourth Proportional to 290.72, 436.10 and 98.28

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Solution

The fourth proportional to 290.72, 436.10 and 98.28 is: 147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.72 : 436.10 = 98.28 : x
  2. Step 2: Convert to fraction form
    290.72/436.10 = 98.28/x
  3. Step 3: Cross multiply
    290.72x = 436.10 × 98.28
  4. Step 4: Simplify right side
    290.72x = 42,859.91
  5. Step 5: Solve for x
    x = 42,859.91/290.72
  6. Step 6: Final answer
    x = 147.43

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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.