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Finding the Fourth Proportional to 424.10, 636.03 and 192.87

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Solution

The fourth proportional to 424.10, 636.03 and 192.87 is: 289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.10 : 636.03 = 192.87 : x
  2. Step 2: Convert to fraction form
    424.10/636.03 = 192.87/x
  3. Step 3: Cross multiply
    424.10x = 636.03 × 192.87
  4. Step 4: Simplify right side
    424.10x = 122,671.11
  5. Step 5: Solve for x
    x = 122,671.11/424.10
  6. Step 6: Final answer
    x = 289.25

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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.