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Finding the Fourth Proportional to 253.79, 350.16 and 166.31

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Solution

The fourth proportional to 253.79, 350.16 and 166.31 is: 229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.79 : 350.16 = 166.31 : x
  2. Step 2: Convert to fraction form
    253.79/350.16 = 166.31/x
  3. Step 3: Cross multiply
    253.79x = 350.16 × 166.31
  4. Step 4: Simplify right side
    253.79x = 58,235.11
  5. Step 5: Solve for x
    x = 58,235.11/253.79
  6. Step 6: Final answer
    x = 229.46

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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.