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Finding the Fourth Proportional to 256.81, 384.95 and 102.68

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Solution

The fourth proportional to 256.81, 384.95 and 102.68 is: 153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.81 : 384.95 = 102.68 : x
  2. Step 2: Convert to fraction form
    256.81/384.95 = 102.68/x
  3. Step 3: Cross multiply
    256.81x = 384.95 × 102.68
  4. Step 4: Simplify right side
    256.81x = 39,526.67
  5. Step 5: Solve for x
    x = 39,526.67/256.81
  6. Step 6: Final answer
    x = 153.91

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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.