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Finding the Fourth Proportional to 290.62, 401.06 and 157.84

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Solution

The fourth proportional to 290.62, 401.06 and 157.84 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.62 : 401.06 = 157.84 : x
  2. Step 2: Convert to fraction form
    290.62/401.06 = 157.84/x
  3. Step 3: Cross multiply
    290.62x = 401.06 × 157.84
  4. Step 4: Simplify right side
    290.62x = 63,303.52
  5. Step 5: Solve for x
    x = 63,303.52/290.62
  6. Step 6: Final answer
    x = 217.82

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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.