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Finding the Fourth Proportional to 288.98, 398.79 and 157.99

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Solution

The fourth proportional to 288.98, 398.79 and 157.99 is: 218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.98 : 398.79 = 157.99 : x
  2. Step 2: Convert to fraction form
    288.98/398.79 = 157.99/x
  3. Step 3: Cross multiply
    288.98x = 398.79 × 157.99
  4. Step 4: Simplify right side
    288.98x = 63,002.84
  5. Step 5: Solve for x
    x = 63,002.84/288.98
  6. Step 6: Final answer
    x = 218.02

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