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Finding the Fourth Proportional to 256.84, 385.18 and 168.99

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Solution

The fourth proportional to 256.84, 385.18 and 168.99 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.84 : 385.18 = 168.99 : x
  2. Step 2: Convert to fraction form
    256.84/385.18 = 168.99/x
  3. Step 3: Cross multiply
    256.84x = 385.18 × 168.99
  4. Step 4: Simplify right side
    256.84x = 65,089.70
  5. Step 5: Solve for x
    x = 65,089.70/256.84
  6. Step 6: Final answer
    x = 253.42

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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.