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Finding the Fourth Proportional to 288.97, 398.77 and 157.98

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Solution

The fourth proportional to 288.97, 398.77 and 157.98 is: 218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.97 : 398.77 = 157.98 : x
  2. Step 2: Convert to fraction form
    288.97/398.77 = 157.98/x
  3. Step 3: Cross multiply
    288.97x = 398.77 × 157.98
  4. Step 4: Simplify right side
    288.97x = 62,998.79
  5. Step 5: Solve for x
    x = 62,998.79/288.97
  6. Step 6: Final answer
    x = 218.01

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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.