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Finding the Fourth Proportional to 265.17, 397.57 and 143.31

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Solution

The fourth proportional to 265.17, 397.57 and 143.31 is: 214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.17 : 397.57 = 143.31 : x
  2. Step 2: Convert to fraction form
    265.17/397.57 = 143.31/x
  3. Step 3: Cross multiply
    265.17x = 397.57 × 143.31
  4. Step 4: Simplify right side
    265.17x = 56,975.76
  5. Step 5: Solve for x
    x = 56,975.76/265.17
  6. Step 6: Final answer
    x = 214.87

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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.