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Finding the Fourth Proportional to 250.74, 374.94 and 178.38

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Solution

The fourth proportional to 250.74, 374.94 and 178.38 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.74 : 374.94 = 178.38 : x
  2. Step 2: Convert to fraction form
    250.74/374.94 = 178.38/x
  3. Step 3: Cross multiply
    250.74x = 374.94 × 178.38
  4. Step 4: Simplify right side
    250.74x = 66,881.80
  5. Step 5: Solve for x
    x = 66,881.80/250.74
  6. Step 6: Final answer
    x = 266.74

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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.