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Finding the Fourth Proportional to 333.15, 499.57 and 138.24

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Solution

The fourth proportional to 333.15, 499.57 and 138.24 is: 207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.15 : 499.57 = 138.24 : x
  2. Step 2: Convert to fraction form
    333.15/499.57 = 138.24/x
  3. Step 3: Cross multiply
    333.15x = 499.57 × 138.24
  4. Step 4: Simplify right side
    333.15x = 69,060.21
  5. Step 5: Solve for x
    x = 69,060.21/333.15
  6. Step 6: Final answer
    x = 207.30

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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.