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Finding the Fourth Proportional to 280.53, 420.54 and 134.19

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Solution

The fourth proportional to 280.53, 420.54 and 134.19 is: 201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.53 : 420.54 = 134.19 : x
  2. Step 2: Convert to fraction form
    280.53/420.54 = 134.19/x
  3. Step 3: Cross multiply
    280.53x = 420.54 × 134.19
  4. Step 4: Simplify right side
    280.53x = 56,431.93
  5. Step 5: Solve for x
    x = 56,431.93/280.53
  6. Step 6: Final answer
    x = 201.16

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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.