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Finding the Fourth Proportional to 490.46, 735.58 and 143.80

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Solution

The fourth proportional to 490.46, 735.58 and 143.80 is: 215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.46 : 735.58 = 143.80 : x
  2. Step 2: Convert to fraction form
    490.46/735.58 = 143.80/x
  3. Step 3: Cross multiply
    490.46x = 735.58 × 143.80
  4. Step 4: Simplify right side
    490.46x = 105,776.40
  5. Step 5: Solve for x
    x = 105,776.40/490.46
  6. Step 6: Final answer
    x = 215.67

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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.