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Finding the Fourth Proportional to 203.84, 307.14 and 168.56

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Solution

The fourth proportional to 203.84, 307.14 and 168.56 is: 253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.84 : 307.14 = 168.56 : x
  2. Step 2: Convert to fraction form
    203.84/307.14 = 168.56/x
  3. Step 3: Cross multiply
    203.84x = 307.14 × 168.56
  4. Step 4: Simplify right side
    203.84x = 51,771.52
  5. Step 5: Solve for x
    x = 51,771.52/203.84
  6. Step 6: Final answer
    x = 253.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.