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Finding the Fourth Proportional to 290.98, 401.57 and 160

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Solution

The fourth proportional to 290.98, 401.57 and 160 is: 220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.98 : 401.57 = 160 : x
  2. Step 2: Convert to fraction form
    290.98/401.57 = 160/x
  3. Step 3: Cross multiply
    290.98x = 401.57 × 160
  4. Step 4: Simplify right side
    290.98x = 64,251.20
  5. Step 5: Solve for x
    x = 64,251.20/290.98
  6. Step 6: Final answer
    x = 220.81

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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.