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Finding the Fourth Proportional to 423.89, 635.78 and 164.02

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Solution

The fourth proportional to 423.89, 635.78 and 164.02 is: 246.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.89 : 635.78 = 164.02 : x
  2. Step 2: Convert to fraction form
    423.89/635.78 = 164.02/x
  3. Step 3: Cross multiply
    423.89x = 635.78 × 164.02
  4. Step 4: Simplify right side
    423.89x = 104,278.25
  5. Step 5: Solve for x
    x = 104,278.25/423.89
  6. Step 6: Final answer
    x = 246.00

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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.