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Finding the Fourth Proportional to 504.25, 756.38 and 139.10

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Solution

The fourth proportional to 504.25, 756.38 and 139.10 is: 208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.25 : 756.38 = 139.10 : x
  2. Step 2: Convert to fraction form
    504.25/756.38 = 139.10/x
  3. Step 3: Cross multiply
    504.25x = 756.38 × 139.10
  4. Step 4: Simplify right side
    504.25x = 105,212.46
  5. Step 5: Solve for x
    x = 105,212.46/504.25
  6. Step 6: Final answer
    x = 208.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.