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Finding the Fourth Proportional to 280.25, 387.10 and 221.32

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Solution

The fourth proportional to 280.25, 387.10 and 221.32 is: 305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.25 : 387.10 = 221.32 : x
  2. Step 2: Convert to fraction form
    280.25/387.10 = 221.32/x
  3. Step 3: Cross multiply
    280.25x = 387.10 × 221.32
  4. Step 4: Simplify right side
    280.25x = 85,673.21
  5. Step 5: Solve for x
    x = 85,673.21/280.25
  6. Step 6: Final answer
    x = 305.70

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