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Finding the Fourth Proportional to 333.20, 499.52 and 188.24

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Solution

The fourth proportional to 333.20, 499.52 and 188.24 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.20 : 499.52 = 188.24 : x
  2. Step 2: Convert to fraction form
    333.20/499.52 = 188.24/x
  3. Step 3: Cross multiply
    333.20x = 499.52 × 188.24
  4. Step 4: Simplify right side
    333.20x = 94,029.64
  5. Step 5: Solve for x
    x = 94,029.64/333.20
  6. Step 6: Final answer
    x = 282.20

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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.