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Finding the Fourth Proportional to 288.82, 398.57 and 157.83

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Solution

The fourth proportional to 288.82, 398.57 and 157.83 is: 217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.82 : 398.57 = 157.83 : x
  2. Step 2: Convert to fraction form
    288.82/398.57 = 157.83/x
  3. Step 3: Cross multiply
    288.82x = 398.57 × 157.83
  4. Step 4: Simplify right side
    288.82x = 62,905.51
  5. Step 5: Solve for x
    x = 62,905.51/288.82
  6. Step 6: Final answer
    x = 217.80

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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.