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Finding the Fourth Proportional to 283.05, 390.60 and 158.67

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Solution

The fourth proportional to 283.05, 390.60 and 158.67 is: 218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.05 : 390.60 = 158.67 : x
  2. Step 2: Convert to fraction form
    283.05/390.60 = 158.67/x
  3. Step 3: Cross multiply
    283.05x = 390.60 × 158.67
  4. Step 4: Simplify right side
    283.05x = 61,976.50
  5. Step 5: Solve for x
    x = 61,976.50/283.05
  6. Step 6: Final answer
    x = 218.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.