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Finding the Fourth Proportional to 338.97, 509.37 and 176.79

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Solution

The fourth proportional to 338.97, 509.37 and 176.79 is: 265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.97 : 509.37 = 176.79 : x
  2. Step 2: Convert to fraction form
    338.97/509.37 = 176.79/x
  3. Step 3: Cross multiply
    338.97x = 509.37 × 176.79
  4. Step 4: Simplify right side
    338.97x = 90,051.52
  5. Step 5: Solve for x
    x = 90,051.52/338.97
  6. Step 6: Final answer
    x = 265.66

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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.