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Finding the Fourth Proportional to 280.10, 419.97 and 117.83

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Solution

The fourth proportional to 280.10, 419.97 and 117.83 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.10 : 419.97 = 117.83 : x
  2. Step 2: Convert to fraction form
    280.10/419.97 = 117.83/x
  3. Step 3: Cross multiply
    280.10x = 419.97 × 117.83
  4. Step 4: Simplify right side
    280.10x = 49,485.07
  5. Step 5: Solve for x
    x = 49,485.07/280.10
  6. Step 6: Final answer
    x = 176.67

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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.