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Finding the Fourth Proportional to 258, 386.96 and 95.66

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Solution

The fourth proportional to 258, 386.96 and 95.66 is: 143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 386.96 = 95.66 : x
  2. Step 2: Convert to fraction form
    258/386.96 = 95.66/x
  3. Step 3: Cross multiply
    258x = 386.96 × 95.66
  4. Step 4: Simplify right side
    258x = 37,014.90
  5. Step 5: Solve for x
    x = 37,014.90/258
  6. Step 6: Final answer
    x = 143.47

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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.