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Finding the Fourth Proportional to 424.10, 636.16 and 180.35

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Solution

The fourth proportional to 424.10, 636.16 and 180.35 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.10 : 636.16 = 180.35 : x
  2. Step 2: Convert to fraction form
    424.10/636.16 = 180.35/x
  3. Step 3: Cross multiply
    424.10x = 636.16 × 180.35
  4. Step 4: Simplify right side
    424.10x = 114,732.60
  5. Step 5: Solve for x
    x = 114,732.60/424.10
  6. Step 6: Final answer
    x = 270.53

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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.