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Finding the Fourth Proportional to 412.16, 618.01 and 168.86

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Solution

The fourth proportional to 412.16, 618.01 and 168.86 is: 253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.16 : 618.01 = 168.86 : x
  2. Step 2: Convert to fraction form
    412.16/618.01 = 168.86/x
  3. Step 3: Cross multiply
    412.16x = 618.01 × 168.86
  4. Step 4: Simplify right side
    412.16x = 104,354.08
  5. Step 5: Solve for x
    x = 104,354.08/412.16
  6. Step 6: Final answer
    x = 253.19

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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.