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Finding the Fourth Proportional to 264.96, 365.62 and 160.08

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Solution

The fourth proportional to 264.96, 365.62 and 160.08 is: 220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.96 : 365.62 = 160.08 : x
  2. Step 2: Convert to fraction form
    264.96/365.62 = 160.08/x
  3. Step 3: Cross multiply
    264.96x = 365.62 × 160.08
  4. Step 4: Simplify right side
    264.96x = 58,528.45
  5. Step 5: Solve for x
    x = 58,528.45/264.96
  6. Step 6: Final answer
    x = 220.90

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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.