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Finding the Fourth Proportional to 250.29, 374.72 and 164.61

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Solution

The fourth proportional to 250.29, 374.72 and 164.61 is: 246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.29 : 374.72 = 164.61 : x
  2. Step 2: Convert to fraction form
    250.29/374.72 = 164.61/x
  3. Step 3: Cross multiply
    250.29x = 374.72 × 164.61
  4. Step 4: Simplify right side
    250.29x = 61,681.84
  5. Step 5: Solve for x
    x = 61,681.84/250.29
  6. Step 6: Final answer
    x = 246.44

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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.