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Finding the Fourth Proportional to 333.74, 500.30 and 138.60

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Solution

The fourth proportional to 333.74, 500.30 and 138.60 is: 207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.74 : 500.30 = 138.60 : x
  2. Step 2: Convert to fraction form
    333.74/500.30 = 138.60/x
  3. Step 3: Cross multiply
    333.74x = 500.30 × 138.60
  4. Step 4: Simplify right side
    333.74x = 69,340.89
  5. Step 5: Solve for x
    x = 69,340.89/333.74
  6. Step 6: Final answer
    x = 207.77

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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.