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Finding the Fourth Proportional to 256.77, 383.00 and 239.76

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Solution

The fourth proportional to 256.77, 383.00 and 239.76 is: 357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.77 : 383.00 = 239.76 : x
  2. Step 2: Convert to fraction form
    256.77/383.00 = 239.76/x
  3. Step 3: Cross multiply
    256.77x = 383.00 × 239.76
  4. Step 4: Simplify right side
    256.77x = 91,826.88
  5. Step 5: Solve for x
    x = 91,826.88/256.77
  6. Step 6: Final answer
    x = 357.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.