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Finding the Fourth Proportional to 256.40, 384.54 and 73.76

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Solution

The fourth proportional to 256.40, 384.54 and 73.76 is: 110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.40 : 384.54 = 73.76 : x
  2. Step 2: Convert to fraction form
    256.40/384.54 = 73.76/x
  3. Step 3: Cross multiply
    256.40x = 384.54 × 73.76
  4. Step 4: Simplify right side
    256.40x = 28,363.67
  5. Step 5: Solve for x
    x = 28,363.67/256.40
  6. Step 6: Final answer
    x = 110.62

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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.