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Finding the Fourth Proportional to 256.38, 384.59 and 73.80

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Solution

The fourth proportional to 256.38, 384.59 and 73.80 is: 110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.38 : 384.59 = 73.80 : x
  2. Step 2: Convert to fraction form
    256.38/384.59 = 73.80/x
  3. Step 3: Cross multiply
    256.38x = 384.59 × 73.80
  4. Step 4: Simplify right side
    256.38x = 28,382.93
  5. Step 5: Solve for x
    x = 28,382.93/256.38
  6. Step 6: Final answer
    x = 110.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.