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Finding the Fourth Proportional to 336.13, 504.21 and 105.01

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Solution

The fourth proportional to 336.13, 504.21 and 105.01 is: 157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.13 : 504.21 = 105.01 : x
  2. Step 2: Convert to fraction form
    336.13/504.21 = 105.01/x
  3. Step 3: Cross multiply
    336.13x = 504.21 × 105.01
  4. Step 4: Simplify right side
    336.13x = 52,947.09
  5. Step 5: Solve for x
    x = 52,947.09/336.13
  6. Step 6: Final answer
    x = 157.52

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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.