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Finding the Fourth Proportional to 423.76, 635.10 and 180.22

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Solution

The fourth proportional to 423.76, 635.10 and 180.22 is: 270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.76 : 635.10 = 180.22 : x
  2. Step 2: Convert to fraction form
    423.76/635.10 = 180.22/x
  3. Step 3: Cross multiply
    423.76x = 635.10 × 180.22
  4. Step 4: Simplify right side
    423.76x = 114,457.72
  5. Step 5: Solve for x
    x = 114,457.72/423.76
  6. Step 6: Final answer
    x = 270.10

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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.