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Finding the Fourth Proportional to 253.80, 350.33 and 180.14

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Solution

The fourth proportional to 253.80, 350.33 and 180.14 is: 248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.80 : 350.33 = 180.14 : x
  2. Step 2: Convert to fraction form
    253.80/350.33 = 180.14/x
  3. Step 3: Cross multiply
    253.80x = 350.33 × 180.14
  4. Step 4: Simplify right side
    253.80x = 63,105.79
  5. Step 5: Solve for x
    x = 63,105.79/253.80
  6. Step 6: Final answer
    x = 248.64

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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.