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Finding the Fourth Proportional to 412.51, 618.24 and 181.34

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Solution

The fourth proportional to 412.51, 618.24 and 181.34 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.51 : 618.24 = 181.34 : x
  2. Step 2: Convert to fraction form
    412.51/618.24 = 181.34/x
  3. Step 3: Cross multiply
    412.51x = 618.24 × 181.34
  4. Step 4: Simplify right side
    412.51x = 112,111.64
  5. Step 5: Solve for x
    x = 112,111.64/412.51
  6. Step 6: Final answer
    x = 271.78

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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.