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Finding the Fourth Proportional to 280.89, 420.41 and 155.62

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Solution

The fourth proportional to 280.89, 420.41 and 155.62 is: 232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.89 : 420.41 = 155.62 : x
  2. Step 2: Convert to fraction form
    280.89/420.41 = 155.62/x
  3. Step 3: Cross multiply
    280.89x = 420.41 × 155.62
  4. Step 4: Simplify right side
    280.89x = 65,425.26
  5. Step 5: Solve for x
    x = 65,425.26/280.89
  6. Step 6: Final answer
    x = 232.92

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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.