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Finding the Fourth Proportional to 339.48, 509.40 and 177.48

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Solution

The fourth proportional to 339.48, 509.40 and 177.48 is: 266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.48 : 509.40 = 177.48 : x
  2. Step 2: Convert to fraction form
    339.48/509.40 = 177.48/x
  3. Step 3: Cross multiply
    339.48x = 509.40 × 177.48
  4. Step 4: Simplify right side
    339.48x = 90,408.31
  5. Step 5: Solve for x
    x = 90,408.31/339.48
  6. Step 6: Final answer
    x = 266.31

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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.