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Finding the Fourth Proportional to 256.53, 384.70 and 73.90

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Solution

The fourth proportional to 256.53, 384.70 and 73.90 is: 110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.53 : 384.70 = 73.90 : x
  2. Step 2: Convert to fraction form
    256.53/384.70 = 73.90/x
  3. Step 3: Cross multiply
    256.53x = 384.70 × 73.90
  4. Step 4: Simplify right side
    256.53x = 28,429.33
  5. Step 5: Solve for x
    x = 28,429.33/256.53
  6. Step 6: Final answer
    x = 110.82

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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.