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Finding the Fourth Proportional to 256, 353.34 and 152.56

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Solution

The fourth proportional to 256, 353.34 and 152.56 is: 210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 353.34 = 152.56 : x
  2. Step 2: Convert to fraction form
    256/353.34 = 152.56/x
  3. Step 3: Cross multiply
    256x = 353.34 × 152.56
  4. Step 4: Simplify right side
    256x = 53,905.55
  5. Step 5: Solve for x
    x = 53,905.55/256
  6. Step 6: Final answer
    x = 210.57

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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.