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Finding the Fourth Proportional to 280.58, 386.74 and 221.46

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Solution

The fourth proportional to 280.58, 386.74 and 221.46 is: 305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.58 : 386.74 = 221.46 : x
  2. Step 2: Convert to fraction form
    280.58/386.74 = 221.46/x
  3. Step 3: Cross multiply
    280.58x = 386.74 × 221.46
  4. Step 4: Simplify right side
    280.58x = 85,647.44
  5. Step 5: Solve for x
    x = 85,647.44/280.58
  6. Step 6: Final answer
    x = 305.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.