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Finding the Fourth Proportional to 257.35, 386.01 and 95.06

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Solution

The fourth proportional to 257.35, 386.01 and 95.06 is: 142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.35 : 386.01 = 95.06 : x
  2. Step 2: Convert to fraction form
    257.35/386.01 = 95.06/x
  3. Step 3: Cross multiply
    257.35x = 386.01 × 95.06
  4. Step 4: Simplify right side
    257.35x = 36,695.43
  5. Step 5: Solve for x
    x = 36,695.43/257.35
  6. Step 6: Final answer
    x = 142.59

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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.