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Finding the Fourth Proportional to 918.85, 1,378.29 and 225.52

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Solution

The fourth proportional to 918.85, 1,378.29 and 225.52 is: 338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.85 : 1,378.29 = 225.52 : x
  2. Step 2: Convert to fraction form
    918.85/1,378.29 = 225.52/x
  3. Step 3: Cross multiply
    918.85x = 1,378.29 × 225.52
  4. Step 4: Simplify right side
    918.85x = 310,831.96
  5. Step 5: Solve for x
    x = 310,831.96/918.85
  6. Step 6: Final answer
    x = 338.28

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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.