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Finding the Fourth Proportional to 423.66, 635.73 and 180.16

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Solution

The fourth proportional to 423.66, 635.73 and 180.16 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.66 : 635.73 = 180.16 : x
  2. Step 2: Convert to fraction form
    423.66/635.73 = 180.16/x
  3. Step 3: Cross multiply
    423.66x = 635.73 × 180.16
  4. Step 4: Simplify right side
    423.66x = 114,533.12
  5. Step 5: Solve for x
    x = 114,533.12/423.66
  6. Step 6: Final answer
    x = 270.34

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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.