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Finding the Fourth Proportional to 503.99, 756.10 and 138.81

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Solution

The fourth proportional to 503.99, 756.10 and 138.81 is: 208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.99 : 756.10 = 138.81 : x
  2. Step 2: Convert to fraction form
    503.99/756.10 = 138.81/x
  3. Step 3: Cross multiply
    503.99x = 756.10 × 138.81
  4. Step 4: Simplify right side
    503.99x = 104,951.06
  5. Step 5: Solve for x
    x = 104,951.06/503.99
  6. Step 6: Final answer
    x = 208.24

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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.