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Finding the Fourth Proportional to 253.84, 350.46 and 180.34

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Solution

The fourth proportional to 253.84, 350.46 and 180.34 is: 248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.84 : 350.46 = 180.34 : x
  2. Step 2: Convert to fraction form
    253.84/350.46 = 180.34/x
  3. Step 3: Cross multiply
    253.84x = 350.46 × 180.34
  4. Step 4: Simplify right side
    253.84x = 63,201.96
  5. Step 5: Solve for x
    x = 63,201.96/253.84
  6. Step 6: Final answer
    x = 248.98

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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.