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Finding the Fourth Proportional to 258.02, 387.01 and 155.25

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Solution

The fourth proportional to 258.02, 387.01 and 155.25 is: 232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.02 : 387.01 = 155.25 : x
  2. Step 2: Convert to fraction form
    258.02/387.01 = 155.25/x
  3. Step 3: Cross multiply
    258.02x = 387.01 × 155.25
  4. Step 4: Simplify right side
    258.02x = 60,083.30
  5. Step 5: Solve for x
    x = 60,083.30/258.02
  6. Step 6: Final answer
    x = 232.86

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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.