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Finding the Fourth Proportional to 336.25, 504.37 and 105.13

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Solution

The fourth proportional to 336.25, 504.37 and 105.13 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.25 : 504.37 = 105.13 : x
  2. Step 2: Convert to fraction form
    336.25/504.37 = 105.13/x
  3. Step 3: Cross multiply
    336.25x = 504.37 × 105.13
  4. Step 4: Simplify right side
    336.25x = 53,024.42
  5. Step 5: Solve for x
    x = 53,024.42/336.25
  6. Step 6: Final answer
    x = 157.69

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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.