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Finding the Fourth Proportional to 257.64, 386.42 and 75.06

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Solution

The fourth proportional to 257.64, 386.42 and 75.06 is: 112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.64 : 386.42 = 75.06 : x
  2. Step 2: Convert to fraction form
    257.64/386.42 = 75.06/x
  3. Step 3: Cross multiply
    257.64x = 386.42 × 75.06
  4. Step 4: Simplify right side
    257.64x = 29,004.69
  5. Step 5: Solve for x
    x = 29,004.69/257.64
  6. Step 6: Final answer
    x = 112.58

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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.