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Finding the Fourth Proportional to 265, 365.56 and 160.04

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Solution

The fourth proportional to 265, 365.56 and 160.04 is: 220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265 : 365.56 = 160.04 : x
  2. Step 2: Convert to fraction form
    265/365.56 = 160.04/x
  3. Step 3: Cross multiply
    265x = 365.56 × 160.04
  4. Step 4: Simplify right side
    265x = 58,504.22
  5. Step 5: Solve for x
    x = 58,504.22/265
  6. Step 6: Final answer
    x = 220.77

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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.