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Finding the Fourth Proportional to 280.74, 421.36 and 134.58

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Solution

The fourth proportional to 280.74, 421.36 and 134.58 is: 201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.74 : 421.36 = 134.58 : x
  2. Step 2: Convert to fraction form
    280.74/421.36 = 134.58/x
  3. Step 3: Cross multiply
    280.74x = 421.36 × 134.58
  4. Step 4: Simplify right side
    280.74x = 56,706.63
  5. Step 5: Solve for x
    x = 56,706.63/280.74
  6. Step 6: Final answer
    x = 201.99

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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.