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Finding the Fourth Proportional to 336.22, 503.68 and 197.06

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Solution

The fourth proportional to 336.22, 503.68 and 197.06 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.22 : 503.68 = 197.06 : x
  2. Step 2: Convert to fraction form
    336.22/503.68 = 197.06/x
  3. Step 3: Cross multiply
    336.22x = 503.68 × 197.06
  4. Step 4: Simplify right side
    336.22x = 99,255.18
  5. Step 5: Solve for x
    x = 99,255.18/336.22
  6. Step 6: Final answer
    x = 295.21

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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.