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Finding the Fourth Proportional to 338.23, 505.37 and 250.01

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Solution

The fourth proportional to 338.23, 505.37 and 250.01 is: 373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.23 : 505.37 = 250.01 : x
  2. Step 2: Convert to fraction form
    338.23/505.37 = 250.01/x
  3. Step 3: Cross multiply
    338.23x = 505.37 × 250.01
  4. Step 4: Simplify right side
    338.23x = 126,347.55
  5. Step 5: Solve for x
    x = 126,347.55/338.23
  6. Step 6: Final answer
    x = 373.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.