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Finding the Fourth Proportional to 256.01, 353.07 and 186.30

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Solution

The fourth proportional to 256.01, 353.07 and 186.30 is: 256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.01 : 353.07 = 186.30 : x
  2. Step 2: Convert to fraction form
    256.01/353.07 = 186.30/x
  3. Step 3: Cross multiply
    256.01x = 353.07 × 186.30
  4. Step 4: Simplify right side
    256.01x = 65,776.94
  5. Step 5: Solve for x
    x = 65,776.94/256.01
  6. Step 6: Final answer
    x = 256.94

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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.