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Finding the Fourth Proportional to 258.88, 357.32 and 155.36

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Solution

The fourth proportional to 258.88, 357.32 and 155.36 is: 214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.88 : 357.32 = 155.36 : x
  2. Step 2: Convert to fraction form
    258.88/357.32 = 155.36/x
  3. Step 3: Cross multiply
    258.88x = 357.32 × 155.36
  4. Step 4: Simplify right side
    258.88x = 55,513.24
  5. Step 5: Solve for x
    x = 55,513.24/258.88
  6. Step 6: Final answer
    x = 214.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.