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Finding the Fourth Proportional to 258.08, 356.16 and 166.08

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Solution

The fourth proportional to 258.08, 356.16 and 166.08 is: 229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.08 : 356.16 = 166.08 : x
  2. Step 2: Convert to fraction form
    258.08/356.16 = 166.08/x
  3. Step 3: Cross multiply
    258.08x = 356.16 × 166.08
  4. Step 4: Simplify right side
    258.08x = 59,151.05
  5. Step 5: Solve for x
    x = 59,151.05/258.08
  6. Step 6: Final answer
    x = 229.20

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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.