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Finding the Fourth Proportional to 257.50, 386.23 and 135.69

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Solution

The fourth proportional to 257.50, 386.23 and 135.69 is: 203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.50 : 386.23 = 135.69 : x
  2. Step 2: Convert to fraction form
    257.50/386.23 = 135.69/x
  3. Step 3: Cross multiply
    257.50x = 386.23 × 135.69
  4. Step 4: Simplify right side
    257.50x = 52,407.55
  5. Step 5: Solve for x
    x = 52,407.55/257.50
  6. Step 6: Final answer
    x = 203.52

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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.