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Finding the Fourth Proportional to 253.11, 349.25 and 146.73

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Solution

The fourth proportional to 253.11, 349.25 and 146.73 is: 202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.11 : 349.25 = 146.73 : x
  2. Step 2: Convert to fraction form
    253.11/349.25 = 146.73/x
  3. Step 3: Cross multiply
    253.11x = 349.25 × 146.73
  4. Step 4: Simplify right side
    253.11x = 51,245.22
  5. Step 5: Solve for x
    x = 51,245.22/253.11
  6. Step 6: Final answer
    x = 202.46

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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.