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Finding the Fourth Proportional to 250.40, 375.68 and 182.08

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Solution

The fourth proportional to 250.40, 375.68 and 182.08 is: 273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.40 : 375.68 = 182.08 : x
  2. Step 2: Convert to fraction form
    250.40/375.68 = 182.08/x
  3. Step 3: Cross multiply
    250.40x = 375.68 × 182.08
  4. Step 4: Simplify right side
    250.40x = 68,403.81
  5. Step 5: Solve for x
    x = 68,403.81/250.40
  6. Step 6: Final answer
    x = 273.18

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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.