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Finding the Fourth Proportional to 264.75, 397.10 and 143.25

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Solution

The fourth proportional to 264.75, 397.10 and 143.25 is: 214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 397.10 = 143.25 : x
  2. Step 2: Convert to fraction form
    264.75/397.10 = 143.25/x
  3. Step 3: Cross multiply
    264.75x = 397.10 × 143.25
  4. Step 4: Simplify right side
    264.75x = 56,883.86
  5. Step 5: Solve for x
    x = 56,883.86/264.75
  6. Step 6: Final answer
    x = 214.86

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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.