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Finding the Fourth Proportional to 250.74, 375.68 and 164.03

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Solution

The fourth proportional to 250.74, 375.68 and 164.03 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.74 : 375.68 = 164.03 : x
  2. Step 2: Convert to fraction form
    250.74/375.68 = 164.03/x
  3. Step 3: Cross multiply
    250.74x = 375.68 × 164.03
  4. Step 4: Simplify right side
    250.74x = 61,621.32
  5. Step 5: Solve for x
    x = 61,621.32/250.74
  6. Step 6: Final answer
    x = 245.76

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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.