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Finding the Fourth Proportional to 258.78, 357.17 and 152.51

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Solution

The fourth proportional to 258.78, 357.17 and 152.51 is: 210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.78 : 357.17 = 152.51 : x
  2. Step 2: Convert to fraction form
    258.78/357.17 = 152.51/x
  3. Step 3: Cross multiply
    258.78x = 357.17 × 152.51
  4. Step 4: Simplify right side
    258.78x = 54,469.45
  5. Step 5: Solve for x
    x = 54,469.45/258.78
  6. Step 6: Final answer
    x = 210.49

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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.