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Finding the Fourth Proportional to 257.55, 386.34 and 84.14

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Solution

The fourth proportional to 257.55, 386.34 and 84.14 is: 126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.55 : 386.34 = 84.14 : x
  2. Step 2: Convert to fraction form
    257.55/386.34 = 84.14/x
  3. Step 3: Cross multiply
    257.55x = 386.34 × 84.14
  4. Step 4: Simplify right side
    257.55x = 32,506.65
  5. Step 5: Solve for x
    x = 32,506.65/257.55
  6. Step 6: Final answer
    x = 126.21

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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.