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Finding the Fourth Proportional to 258.57, 356.72 and 160.16

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Solution

The fourth proportional to 258.57, 356.72 and 160.16 is: 220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.57 : 356.72 = 160.16 : x
  2. Step 2: Convert to fraction form
    258.57/356.72 = 160.16/x
  3. Step 3: Cross multiply
    258.57x = 356.72 × 160.16
  4. Step 4: Simplify right side
    258.57x = 57,132.28
  5. Step 5: Solve for x
    x = 57,132.28/258.57
  6. Step 6: Final answer
    x = 220.95

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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.