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Finding the Fourth Proportional to 290.96, 401.52 and 159.98

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Solution

The fourth proportional to 290.96, 401.52 and 159.98 is: 220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.96 : 401.52 = 159.98 : x
  2. Step 2: Convert to fraction form
    290.96/401.52 = 159.98/x
  3. Step 3: Cross multiply
    290.96x = 401.52 × 159.98
  4. Step 4: Simplify right side
    290.96x = 64,233.16
  5. Step 5: Solve for x
    x = 64,233.16/290.96
  6. Step 6: Final answer
    x = 220.77

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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.