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Finding the Fourth Proportional to 333.92, 499.97 and 210.20

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Solution

The fourth proportional to 333.92, 499.97 and 210.20 is: 314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.92 : 499.97 = 210.20 : x
  2. Step 2: Convert to fraction form
    333.92/499.97 = 210.20/x
  3. Step 3: Cross multiply
    333.92x = 499.97 × 210.20
  4. Step 4: Simplify right side
    333.92x = 105,091.72
  5. Step 5: Solve for x
    x = 105,091.72/333.92
  6. Step 6: Final answer
    x = 314.72

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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.