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Finding the Fourth Proportional to 636.96, 955.44 and 204.16

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Solution

The fourth proportional to 636.96, 955.44 and 204.16 is: 306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.96 : 955.44 = 204.16 : x
  2. Step 2: Convert to fraction form
    636.96/955.44 = 204.16/x
  3. Step 3: Cross multiply
    636.96x = 955.44 × 204.16
  4. Step 4: Simplify right side
    636.96x = 195,062.63
  5. Step 5: Solve for x
    x = 195,062.63/636.96
  6. Step 6: Final answer
    x = 306.24

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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.