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Finding the Fourth Proportional to 336.21, 504.07 and 173.80

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Solution

The fourth proportional to 336.21, 504.07 and 173.80 is: 260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.21 : 504.07 = 173.80 : x
  2. Step 2: Convert to fraction form
    336.21/504.07 = 173.80/x
  3. Step 3: Cross multiply
    336.21x = 504.07 × 173.80
  4. Step 4: Simplify right side
    336.21x = 87,606.50
  5. Step 5: Solve for x
    x = 87,606.50/336.21
  6. Step 6: Final answer
    x = 260.57

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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.