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Finding the Fourth Proportional to 336.24, 504.34 and 119.82

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Solution

The fourth proportional to 336.24, 504.34 and 119.82 is: 179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.24 : 504.34 = 119.82 : x
  2. Step 2: Convert to fraction form
    336.24/504.34 = 119.82/x
  3. Step 3: Cross multiply
    336.24x = 504.34 × 119.82
  4. Step 4: Simplify right side
    336.24x = 60,430.02
  5. Step 5: Solve for x
    x = 60,430.02/336.24
  6. Step 6: Final answer
    x = 179.72

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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.