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Finding the Fourth Proportional to 280.66, 421.17 and 172.48

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Solution

The fourth proportional to 280.66, 421.17 and 172.48 is: 258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.66 : 421.17 = 172.48 : x
  2. Step 2: Convert to fraction form
    280.66/421.17 = 172.48/x
  3. Step 3: Cross multiply
    280.66x = 421.17 × 172.48
  4. Step 4: Simplify right side
    280.66x = 72,643.40
  5. Step 5: Solve for x
    x = 72,643.40/280.66
  6. Step 6: Final answer
    x = 258.83

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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.