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Finding the Fourth Proportional to 256.32, 352.97 and 186.26

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Solution

The fourth proportional to 256.32, 352.97 and 186.26 is: 256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.32 : 352.97 = 186.26 : x
  2. Step 2: Convert to fraction form
    256.32/352.97 = 186.26/x
  3. Step 3: Cross multiply
    256.32x = 352.97 × 186.26
  4. Step 4: Simplify right side
    256.32x = 65,741.50
  5. Step 5: Solve for x
    x = 65,741.50/256.32
  6. Step 6: Final answer
    x = 256.48

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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.