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Finding the Fourth Proportional to 280.46, 420.59 and 97.81

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Solution

The fourth proportional to 280.46, 420.59 and 97.81 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.46 : 420.59 = 97.81 : x
  2. Step 2: Convert to fraction form
    280.46/420.59 = 97.81/x
  3. Step 3: Cross multiply
    280.46x = 420.59 × 97.81
  4. Step 4: Simplify right side
    280.46x = 41,137.10
  5. Step 5: Solve for x
    x = 41,137.10/280.46
  6. Step 6: Final answer
    x = 146.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.