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Finding the Fourth Proportional to 678.81, 1,018.22 and 165.81

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Solution

The fourth proportional to 678.81, 1,018.22 and 165.81 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.81 : 1,018.22 = 165.81 : x
  2. Step 2: Convert to fraction form
    678.81/1,018.22 = 165.81/x
  3. Step 3: Cross multiply
    678.81x = 1,018.22 × 165.81
  4. Step 4: Simplify right side
    678.81x = 168,831.06
  5. Step 5: Solve for x
    x = 168,831.06/678.81
  6. Step 6: Final answer
    x = 248.72

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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.