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Finding the Fourth Proportional to 336.53, 504.77 and 105.38

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Solution

The fourth proportional to 336.53, 504.77 and 105.38 is: 158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.53 : 504.77 = 105.38 : x
  2. Step 2: Convert to fraction form
    336.53/504.77 = 105.38/x
  3. Step 3: Cross multiply
    336.53x = 504.77 × 105.38
  4. Step 4: Simplify right side
    336.53x = 53,191.66
  5. Step 5: Solve for x
    x = 53,191.66/336.53
  6. Step 6: Final answer
    x = 158.06

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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.