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Finding the Fourth Proportional to 183.47, 251.78 and 167.00

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Solution

The fourth proportional to 183.47, 251.78 and 167.00 is: 229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.47 : 251.78 = 167.00 : x
  2. Step 2: Convert to fraction form
    183.47/251.78 = 167.00/x
  3. Step 3: Cross multiply
    183.47x = 251.78 × 167.00
  4. Step 4: Simplify right side
    183.47x = 42,045.17
  5. Step 5: Solve for x
    x = 42,045.17/183.47
  6. Step 6: Final answer
    x = 229.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.