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Finding the Fourth Proportional to 255.16, 352.02 and 166.60

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Solution

The fourth proportional to 255.16, 352.02 and 166.60 is: 229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.16 : 352.02 = 166.60 : x
  2. Step 2: Convert to fraction form
    255.16/352.02 = 166.60/x
  3. Step 3: Cross multiply
    255.16x = 352.02 × 166.60
  4. Step 4: Simplify right side
    255.16x = 58,646.53
  5. Step 5: Solve for x
    x = 58,646.53/255.16
  6. Step 6: Final answer
    x = 229.84

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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.