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Finding the Fourth Proportional to 280.17, 419.47 and 142.92

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Solution

The fourth proportional to 280.17, 419.47 and 142.92 is: 213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.17 : 419.47 = 142.92 : x
  2. Step 2: Convert to fraction form
    280.17/419.47 = 142.92/x
  3. Step 3: Cross multiply
    280.17x = 419.47 × 142.92
  4. Step 4: Simplify right side
    280.17x = 59,950.30
  5. Step 5: Solve for x
    x = 59,950.30/280.17
  6. Step 6: Final answer
    x = 213.98

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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.