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Finding the Fourth Proportional to 257.99, 386.94 and 84.68

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Solution

The fourth proportional to 257.99, 386.94 and 84.68 is: 127.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.99 : 386.94 = 84.68 : x
  2. Step 2: Convert to fraction form
    257.99/386.94 = 84.68/x
  3. Step 3: Cross multiply
    257.99x = 386.94 × 84.68
  4. Step 4: Simplify right side
    257.99x = 32,765.91
  5. Step 5: Solve for x
    x = 32,765.91/257.99
  6. Step 6: Final answer
    x = 127.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.