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Finding the Fourth Proportional to 250.42, 374.67 and 164.50

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Solution

The fourth proportional to 250.42, 374.67 and 164.50 is: 246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.42 : 374.67 = 164.50 : x
  2. Step 2: Convert to fraction form
    250.42/374.67 = 164.50/x
  3. Step 3: Cross multiply
    250.42x = 374.67 × 164.50
  4. Step 4: Simplify right side
    250.42x = 61,633.22
  5. Step 5: Solve for x
    x = 61,633.22/250.42
  6. Step 6: Final answer
    x = 246.12

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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.