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Finding the Fourth Proportional to 290.78, 401.30 and 159.80

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Solution

The fourth proportional to 290.78, 401.30 and 159.80 is: 220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.78 : 401.30 = 159.80 : x
  2. Step 2: Convert to fraction form
    290.78/401.30 = 159.80/x
  3. Step 3: Cross multiply
    290.78x = 401.30 × 159.80
  4. Step 4: Simplify right side
    290.78x = 64,127.74
  5. Step 5: Solve for x
    x = 64,127.74/290.78
  6. Step 6: Final answer
    x = 220.54

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Why These Related Problems?

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