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Finding the Fourth Proportional to 921.40, 1,382.06 and 228.07

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Solution

The fourth proportional to 921.40, 1,382.06 and 228.07 is: 342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.40 : 1,382.06 = 228.07 : x
  2. Step 2: Convert to fraction form
    921.40/1,382.06 = 228.07/x
  3. Step 3: Cross multiply
    921.40x = 1,382.06 × 228.07
  4. Step 4: Simplify right side
    921.40x = 315,203.54
  5. Step 5: Solve for x
    x = 315,203.54/921.40
  6. Step 6: Final answer
    x = 342.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.