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Finding the Fourth Proportional to 333.80, 501.60 and 179.84

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Solution

The fourth proportional to 333.80, 501.60 and 179.84 is: 270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.80 : 501.60 = 179.84 : x
  2. Step 2: Convert to fraction form
    333.80/501.60 = 179.84/x
  3. Step 3: Cross multiply
    333.80x = 501.60 × 179.84
  4. Step 4: Simplify right side
    333.80x = 90,207.74
  5. Step 5: Solve for x
    x = 90,207.74/333.80
  6. Step 6: Final answer
    x = 270.24

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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.