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Finding the Fourth Proportional to 280.27, 420.15 and 133.93

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Solution

The fourth proportional to 280.27, 420.15 and 133.93 is: 200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.27 : 420.15 = 133.93 : x
  2. Step 2: Convert to fraction form
    280.27/420.15 = 133.93/x
  3. Step 3: Cross multiply
    280.27x = 420.15 × 133.93
  4. Step 4: Simplify right side
    280.27x = 56,269.64
  5. Step 5: Solve for x
    x = 56,269.64/280.27
  6. Step 6: Final answer
    x = 200.77

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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.