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Finding the Fourth Proportional to 918.76, 1,378.14 and 225.43

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Solution

The fourth proportional to 918.76, 1,378.14 and 225.43 is: 338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.76 : 1,378.14 = 225.43 : x
  2. Step 2: Convert to fraction form
    918.76/1,378.14 = 225.43/x
  3. Step 3: Cross multiply
    918.76x = 1,378.14 × 225.43
  4. Step 4: Simplify right side
    918.76x = 310,674.10
  5. Step 5: Solve for x
    x = 310,674.10/918.76
  6. Step 6: Final answer
    x = 338.15

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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.