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Finding the Fourth Proportional to 280.63, 421.27 and 165.16

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Solution

The fourth proportional to 280.63, 421.27 and 165.16 is: 247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.63 : 421.27 = 165.16 : x
  2. Step 2: Convert to fraction form
    280.63/421.27 = 165.16/x
  3. Step 3: Cross multiply
    280.63x = 421.27 × 165.16
  4. Step 4: Simplify right side
    280.63x = 69,576.95
  5. Step 5: Solve for x
    x = 69,576.95/280.63
  6. Step 6: Final answer
    x = 247.93

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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.