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Finding the Fourth Proportional to 256.59, 353.77 and 173.64

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Solution

The fourth proportional to 256.59, 353.77 and 173.64 is: 239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 353.77 = 173.64 : x
  2. Step 2: Convert to fraction form
    256.59/353.77 = 173.64/x
  3. Step 3: Cross multiply
    256.59x = 353.77 × 173.64
  4. Step 4: Simplify right side
    256.59x = 61,428.62
  5. Step 5: Solve for x
    x = 61,428.62/256.59
  6. Step 6: Final answer
    x = 239.40

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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.