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Finding the Fourth Proportional to 250.06, 374.66 and 177.78

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Solution

The fourth proportional to 250.06, 374.66 and 177.78 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.06 : 374.66 = 177.78 : x
  2. Step 2: Convert to fraction form
    250.06/374.66 = 177.78/x
  3. Step 3: Cross multiply
    250.06x = 374.66 × 177.78
  4. Step 4: Simplify right side
    250.06x = 66,607.05
  5. Step 5: Solve for x
    x = 66,607.05/250.06
  6. Step 6: Final answer
    x = 266.36

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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.