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Finding the Fourth Proportional to 258.84, 357.36 and 171.68

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Solution

The fourth proportional to 258.84, 357.36 and 171.68 is: 237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.84 : 357.36 = 171.68 : x
  2. Step 2: Convert to fraction form
    258.84/357.36 = 171.68/x
  3. Step 3: Cross multiply
    258.84x = 357.36 × 171.68
  4. Step 4: Simplify right side
    258.84x = 61,349.78
  5. Step 5: Solve for x
    x = 61,349.78/258.84
  6. Step 6: Final answer
    x = 237.02

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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.