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Finding the Fourth Proportional to 416.68, 625.08 and 128.12

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Solution

The fourth proportional to 416.68, 625.08 and 128.12 is: 192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.68 : 625.08 = 128.12 : x
  2. Step 2: Convert to fraction form
    416.68/625.08 = 128.12/x
  3. Step 3: Cross multiply
    416.68x = 625.08 × 128.12
  4. Step 4: Simplify right side
    416.68x = 80,082.60
  5. Step 5: Solve for x
    x = 80,082.60/416.68
  6. Step 6: Final answer
    x = 192.19

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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.