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Finding the Fourth Proportional to 280.09, 420.08 and 117.73

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Solution

The fourth proportional to 280.09, 420.08 and 117.73 is: 176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.09 : 420.08 = 117.73 : x
  2. Step 2: Convert to fraction form
    280.09/420.08 = 117.73/x
  3. Step 3: Cross multiply
    280.09x = 420.08 × 117.73
  4. Step 4: Simplify right side
    280.09x = 49,456.02
  5. Step 5: Solve for x
    x = 49,456.02/280.09
  6. Step 6: Final answer
    x = 176.57

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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.