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Finding the Fourth Proportional to 264.67, 365.24 and 159.77

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Solution

The fourth proportional to 264.67, 365.24 and 159.77 is: 220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.67 : 365.24 = 159.77 : x
  2. Step 2: Convert to fraction form
    264.67/365.24 = 159.77/x
  3. Step 3: Cross multiply
    264.67x = 365.24 × 159.77
  4. Step 4: Simplify right side
    264.67x = 58,355.71
  5. Step 5: Solve for x
    x = 58,355.71/264.67
  6. Step 6: Final answer
    x = 220.49

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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.