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Finding the Fourth Proportional to 504.14, 756.07 and 138.84

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Solution

The fourth proportional to 504.14, 756.07 and 138.84 is: 208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.14 : 756.07 = 138.84 : x
  2. Step 2: Convert to fraction form
    504.14/756.07 = 138.84/x
  3. Step 3: Cross multiply
    504.14x = 756.07 × 138.84
  4. Step 4: Simplify right side
    504.14x = 104,972.76
  5. Step 5: Solve for x
    x = 104,972.76/504.14
  6. Step 6: Final answer
    x = 208.22

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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.