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Finding the Fourth Proportional to 264.85, 397.25 and 161.93

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Solution

The fourth proportional to 264.85, 397.25 and 161.93 is: 242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.85 : 397.25 = 161.93 : x
  2. Step 2: Convert to fraction form
    264.85/397.25 = 161.93/x
  3. Step 3: Cross multiply
    264.85x = 397.25 × 161.93
  4. Step 4: Simplify right side
    264.85x = 64,325.88
  5. Step 5: Solve for x
    x = 64,325.88/264.85
  6. Step 6: Final answer
    x = 242.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.