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Finding the Fourth Proportional to 270.98, 373.96 and 177.79

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Solution

The fourth proportional to 270.98, 373.96 and 177.79 is: 245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.98 : 373.96 = 177.79 : x
  2. Step 2: Convert to fraction form
    270.98/373.96 = 177.79/x
  3. Step 3: Cross multiply
    270.98x = 373.96 × 177.79
  4. Step 4: Simplify right side
    270.98x = 66,486.35
  5. Step 5: Solve for x
    x = 66,486.35/270.98
  6. Step 6: Final answer
    x = 245.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.