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Finding the Fourth Proportional to 554.22, 831.34 and 164.22

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Solution

The fourth proportional to 554.22, 831.34 and 164.22 is: 246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.22 : 831.34 = 164.22 : x
  2. Step 2: Convert to fraction form
    554.22/831.34 = 164.22/x
  3. Step 3: Cross multiply
    554.22x = 831.34 × 164.22
  4. Step 4: Simplify right side
    554.22x = 136,522.65
  5. Step 5: Solve for x
    x = 136,522.65/554.22
  6. Step 6: Final answer
    x = 246.33

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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.