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Finding the Fourth Proportional to 264.60, 365.13 and 159.75

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Solution

The fourth proportional to 264.60, 365.13 and 159.75 is: 220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.60 : 365.13 = 159.75 : x
  2. Step 2: Convert to fraction form
    264.60/365.13 = 159.75/x
  3. Step 3: Cross multiply
    264.60x = 365.13 × 159.75
  4. Step 4: Simplify right side
    264.60x = 58,329.52
  5. Step 5: Solve for x
    x = 58,329.52/264.60
  6. Step 6: Final answer
    x = 220.44

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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.