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Finding the Fourth Proportional to 504.05, 755.80 and 195.67

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Solution

The fourth proportional to 504.05, 755.80 and 195.67 is: 293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.05 : 755.80 = 195.67 : x
  2. Step 2: Convert to fraction form
    504.05/755.80 = 195.67/x
  3. Step 3: Cross multiply
    504.05x = 755.80 × 195.67
  4. Step 4: Simplify right side
    504.05x = 147,887.84
  5. Step 5: Solve for x
    x = 147,887.84/504.05
  6. Step 6: Final answer
    x = 293.40

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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.