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Finding the Fourth Proportional to 407.97, 612.14 and 164.70

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Solution

The fourth proportional to 407.97, 612.14 and 164.70 is: 247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.97 : 612.14 = 164.70 : x
  2. Step 2: Convert to fraction form
    407.97/612.14 = 164.70/x
  3. Step 3: Cross multiply
    407.97x = 612.14 × 164.70
  4. Step 4: Simplify right side
    407.97x = 100,818.63
  5. Step 5: Solve for x
    x = 100,818.63/407.97
  6. Step 6: Final answer
    x = 247.12

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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.