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Finding the Fourth Proportional to 504.18, 755.76 and 195.84

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Solution

The fourth proportional to 504.18, 755.76 and 195.84 is: 293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.18 : 755.76 = 195.84 : x
  2. Step 2: Convert to fraction form
    504.18/755.76 = 195.84/x
  3. Step 3: Cross multiply
    504.18x = 755.76 × 195.84
  4. Step 4: Simplify right side
    504.18x = 148,008.04
  5. Step 5: Solve for x
    x = 148,008.04/504.18
  6. Step 6: Final answer
    x = 293.56

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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.