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Finding the Fourth Proportional to 250.70, 375.30 and 177.39

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Solution

The fourth proportional to 250.70, 375.30 and 177.39 is: 265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.70 : 375.30 = 177.39 : x
  2. Step 2: Convert to fraction form
    250.70/375.30 = 177.39/x
  3. Step 3: Cross multiply
    250.70x = 375.30 × 177.39
  4. Step 4: Simplify right side
    250.70x = 66,574.47
  5. Step 5: Solve for x
    x = 66,574.47/250.70
  6. Step 6: Final answer
    x = 265.56

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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.