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Finding the Fourth Proportional to 171.60, 258.60 and 160.80

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Solution

The fourth proportional to 171.60, 258.60 and 160.80 is: 242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.60 : 258.60 = 160.80 : x
  2. Step 2: Convert to fraction form
    171.60/258.60 = 160.80/x
  3. Step 3: Cross multiply
    171.60x = 258.60 × 160.80
  4. Step 4: Simplify right side
    171.60x = 41,582.88
  5. Step 5: Solve for x
    x = 41,582.88/171.60
  6. Step 6: Final answer
    x = 242.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.