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Finding the Fourth Proportional to 637.02, 955.46 and 204.12

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Solution

The fourth proportional to 637.02, 955.46 and 204.12 is: 306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.02 : 955.46 = 204.12 : x
  2. Step 2: Convert to fraction form
    637.02/955.46 = 204.12/x
  3. Step 3: Cross multiply
    637.02x = 955.46 × 204.12
  4. Step 4: Simplify right side
    637.02x = 195,028.50
  5. Step 5: Solve for x
    x = 195,028.50/637.02
  6. Step 6: Final answer
    x = 306.16

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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.