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Finding the Fourth Proportional to 258.12, 387.59 and 177.12

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Solution

The fourth proportional to 258.12, 387.59 and 177.12 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.12 : 387.59 = 177.12 : x
  2. Step 2: Convert to fraction form
    258.12/387.59 = 177.12/x
  3. Step 3: Cross multiply
    258.12x = 387.59 × 177.12
  4. Step 4: Simplify right side
    258.12x = 68,649.06
  5. Step 5: Solve for x
    x = 68,649.06/258.12
  6. Step 6: Final answer
    x = 265.96

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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.