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Finding the Fourth Proportional to 256.69, 354.01 and 173.77

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Solution

The fourth proportional to 256.69, 354.01 and 173.77 is: 239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.69 : 354.01 = 173.77 : x
  2. Step 2: Convert to fraction form
    256.69/354.01 = 173.77/x
  3. Step 3: Cross multiply
    256.69x = 354.01 × 173.77
  4. Step 4: Simplify right side
    256.69x = 61,516.32
  5. Step 5: Solve for x
    x = 61,516.32/256.69
  6. Step 6: Final answer
    x = 239.65

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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.