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Finding the Fourth Proportional to 301.65, 452.47 and 164.65

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Solution

The fourth proportional to 301.65, 452.47 and 164.65 is: 246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.65 : 452.47 = 164.65 : x
  2. Step 2: Convert to fraction form
    301.65/452.47 = 164.65/x
  3. Step 3: Cross multiply
    301.65x = 452.47 × 164.65
  4. Step 4: Simplify right side
    301.65x = 74,499.19
  5. Step 5: Solve for x
    x = 74,499.19/301.65
  6. Step 6: Final answer
    x = 246.97

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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.