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Finding the Fourth Proportional to 424.16, 636.33 and 180.71

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Solution

The fourth proportional to 424.16, 636.33 and 180.71 is: 271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.16 : 636.33 = 180.71 : x
  2. Step 2: Convert to fraction form
    424.16/636.33 = 180.71/x
  3. Step 3: Cross multiply
    424.16x = 636.33 × 180.71
  4. Step 4: Simplify right side
    424.16x = 114,991.19
  5. Step 5: Solve for x
    x = 114,991.19/424.16
  6. Step 6: Final answer
    x = 271.10

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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.