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Finding the Fourth Proportional to 256.33, 353.70 and 152.83

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Solution

The fourth proportional to 256.33, 353.70 and 152.83 is: 210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.33 : 353.70 = 152.83 : x
  2. Step 2: Convert to fraction form
    256.33/353.70 = 152.83/x
  3. Step 3: Cross multiply
    256.33x = 353.70 × 152.83
  4. Step 4: Simplify right side
    256.33x = 54,055.97
  5. Step 5: Solve for x
    x = 54,055.97/256.33
  6. Step 6: Final answer
    x = 210.88

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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.