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Finding the Fourth Proportional to 250.78, 375.90 and 164.08

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Solution

The fourth proportional to 250.78, 375.90 and 164.08 is: 245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.78 : 375.90 = 164.08 : x
  2. Step 2: Convert to fraction form
    250.78/375.90 = 164.08/x
  3. Step 3: Cross multiply
    250.78x = 375.90 × 164.08
  4. Step 4: Simplify right side
    250.78x = 61,677.67
  5. Step 5: Solve for x
    x = 61,677.67/250.78
  6. Step 6: Final answer
    x = 245.94

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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.