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Finding the Fourth Proportional to 264.69, 396.04 and 158.76

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Solution

The fourth proportional to 264.69, 396.04 and 158.76 is: 237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.69 : 396.04 = 158.76 : x
  2. Step 2: Convert to fraction form
    264.69/396.04 = 158.76/x
  3. Step 3: Cross multiply
    264.69x = 396.04 × 158.76
  4. Step 4: Simplify right side
    264.69x = 62,874.91
  5. Step 5: Solve for x
    x = 62,874.91/264.69
  6. Step 6: Final answer
    x = 237.54

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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.