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Finding the Fourth Proportional to 257.14, 354.82 and 145.12

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Solution

The fourth proportional to 257.14, 354.82 and 145.12 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.14 : 354.82 = 145.12 : x
  2. Step 2: Convert to fraction form
    257.14/354.82 = 145.12/x
  3. Step 3: Cross multiply
    257.14x = 354.82 × 145.12
  4. Step 4: Simplify right side
    257.14x = 51,491.48
  5. Step 5: Solve for x
    x = 51,491.48/257.14
  6. Step 6: Final answer
    x = 200.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.