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Finding the Fourth Proportional to 284.08, 426.07 and 78.67

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Solution

The fourth proportional to 284.08, 426.07 and 78.67 is: 117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.08 : 426.07 = 78.67 : x
  2. Step 2: Convert to fraction form
    284.08/426.07 = 78.67/x
  3. Step 3: Cross multiply
    284.08x = 426.07 × 78.67
  4. Step 4: Simplify right side
    284.08x = 33,518.93
  5. Step 5: Solve for x
    x = 33,518.93/284.08
  6. Step 6: Final answer
    x = 117.99

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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.