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Finding the Fourth Proportional to 504.44, 756.65 and 139.23

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Solution

The fourth proportional to 504.44, 756.65 and 139.23 is: 208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.44 : 756.65 = 139.23 : x
  2. Step 2: Convert to fraction form
    504.44/756.65 = 139.23/x
  3. Step 3: Cross multiply
    504.44x = 756.65 × 139.23
  4. Step 4: Simplify right side
    504.44x = 105,348.38
  5. Step 5: Solve for x
    x = 105,348.38/504.44
  6. Step 6: Final answer
    x = 208.84

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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.