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Finding the Fourth Proportional to 301.07, 451.60 and 164.08

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Solution

The fourth proportional to 301.07, 451.60 and 164.08 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.07 : 451.60 = 164.08 : x
  2. Step 2: Convert to fraction form
    301.07/451.60 = 164.08/x
  3. Step 3: Cross multiply
    301.07x = 451.60 × 164.08
  4. Step 4: Simplify right side
    301.07x = 74,096.60
  5. Step 5: Solve for x
    x = 74,096.60/301.07
  6. Step 6: Final answer
    x = 246.11

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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.