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Finding the Fourth Proportional to 258.21, 385.70 and 170.82

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Solution

The fourth proportional to 258.21, 385.70 and 170.82 is: 255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.21 : 385.70 = 170.82 : x
  2. Step 2: Convert to fraction form
    258.21/385.70 = 170.82/x
  3. Step 3: Cross multiply
    258.21x = 385.70 × 170.82
  4. Step 4: Simplify right side
    258.21x = 65,884.42
  5. Step 5: Solve for x
    x = 65,884.42/258.21
  6. Step 6: Final answer
    x = 255.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.