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Finding the Fourth Proportional to 225.48, 311.45 and 166.58

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Solution

The fourth proportional to 225.48, 311.45 and 166.58 is: 230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.48 : 311.45 = 166.58 : x
  2. Step 2: Convert to fraction form
    225.48/311.45 = 166.58/x
  3. Step 3: Cross multiply
    225.48x = 311.45 × 166.58
  4. Step 4: Simplify right side
    225.48x = 51,880.51
  5. Step 5: Solve for x
    x = 51,880.51/225.48
  6. Step 6: Final answer
    x = 230.09

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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.