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Finding the Fourth Proportional to 407.82, 612.18 and 164.51

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Solution

The fourth proportional to 407.82, 612.18 and 164.51 is: 246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.82 : 612.18 = 164.51 : x
  2. Step 2: Convert to fraction form
    407.82/612.18 = 164.51/x
  3. Step 3: Cross multiply
    407.82x = 612.18 × 164.51
  4. Step 4: Simplify right side
    407.82x = 100,711.26
  5. Step 5: Solve for x
    x = 100,711.26/407.82
  6. Step 6: Final answer
    x = 246.95

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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.