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Finding the Fourth Proportional to 309.88, 427.64 and 177.08

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Solution

The fourth proportional to 309.88, 427.64 and 177.08 is: 244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 427.64 = 177.08 : x
  2. Step 2: Convert to fraction form
    309.88/427.64 = 177.08/x
  3. Step 3: Cross multiply
    309.88x = 427.64 × 177.08
  4. Step 4: Simplify right side
    309.88x = 75,726.49
  5. Step 5: Solve for x
    x = 75,726.49/309.88
  6. Step 6: Final answer
    x = 244.37

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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.