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Finding the Fourth Proportional to 264.80, 397.08 and 143.12

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Solution

The fourth proportional to 264.80, 397.08 and 143.12 is: 214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 397.08 = 143.12 : x
  2. Step 2: Convert to fraction form
    264.80/397.08 = 143.12/x
  3. Step 3: Cross multiply
    264.80x = 397.08 × 143.12
  4. Step 4: Simplify right side
    264.80x = 56,830.09
  5. Step 5: Solve for x
    x = 56,830.09/264.80
  6. Step 6: Final answer
    x = 214.62

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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.