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Finding the Fourth Proportional to 258.07, 386.65 and 136.07

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Solution

The fourth proportional to 258.07, 386.65 and 136.07 is: 203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.07 : 386.65 = 136.07 : x
  2. Step 2: Convert to fraction form
    258.07/386.65 = 136.07/x
  3. Step 3: Cross multiply
    258.07x = 386.65 × 136.07
  4. Step 4: Simplify right side
    258.07x = 52,611.47
  5. Step 5: Solve for x
    x = 52,611.47/258.07
  6. Step 6: Final answer
    x = 203.87

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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.