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Finding the Fourth Proportional to 333.77, 500.47 and 138.56

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Solution

The fourth proportional to 333.77, 500.47 and 138.56 is: 207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.77 : 500.47 = 138.56 : x
  2. Step 2: Convert to fraction form
    333.77/500.47 = 138.56/x
  3. Step 3: Cross multiply
    333.77x = 500.47 × 138.56
  4. Step 4: Simplify right side
    333.77x = 69,345.48
  5. Step 5: Solve for x
    x = 69,345.48/333.77
  6. Step 6: Final answer
    x = 207.76

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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.