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Finding the Fourth Proportional to 678.56, 1,017.84 and 165.56

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Solution

The fourth proportional to 678.56, 1,017.84 and 165.56 is: 248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.56 : 1,017.84 = 165.56 : x
  2. Step 2: Convert to fraction form
    678.56/1,017.84 = 165.56/x
  3. Step 3: Cross multiply
    678.56x = 1,017.84 × 165.56
  4. Step 4: Simplify right side
    678.56x = 168,513.59
  5. Step 5: Solve for x
    x = 168,513.59/678.56
  6. Step 6: Final answer
    x = 248.34

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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.