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Finding the Fourth Proportional to 257.53, 386.33 and 84.16

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Solution

The fourth proportional to 257.53, 386.33 and 84.16 is: 126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.53 : 386.33 = 84.16 : x
  2. Step 2: Convert to fraction form
    257.53/386.33 = 84.16/x
  3. Step 3: Cross multiply
    257.53x = 386.33 × 84.16
  4. Step 4: Simplify right side
    257.53x = 32,514.23
  5. Step 5: Solve for x
    x = 32,514.23/257.53
  6. Step 6: Final answer
    x = 126.25

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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.