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Finding the Fourth Proportional to 164.61, 246.74 and 73.26

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Solution

The fourth proportional to 164.61, 246.74 and 73.26 is: 109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.61 : 246.74 = 73.26 : x
  2. Step 2: Convert to fraction form
    164.61/246.74 = 73.26/x
  3. Step 3: Cross multiply
    164.61x = 246.74 × 73.26
  4. Step 4: Simplify right side
    164.61x = 18,075.81
  5. Step 5: Solve for x
    x = 18,075.81/164.61
  6. Step 6: Final answer
    x = 109.81

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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.