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Finding the Fourth Proportional to 504.39, 756.18 and 196.20

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Solution

The fourth proportional to 504.39, 756.18 and 196.20 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.39 : 756.18 = 196.20 : x
  2. Step 2: Convert to fraction form
    504.39/756.18 = 196.20/x
  3. Step 3: Cross multiply
    504.39x = 756.18 × 196.20
  4. Step 4: Simplify right side
    504.39x = 148,362.52
  5. Step 5: Solve for x
    x = 148,362.52/504.39
  6. Step 6: Final answer
    x = 294.14

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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.