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Finding the Fourth Proportional to 630.06, 945.09 and 167.84

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Solution

The fourth proportional to 630.06, 945.09 and 167.84 is: 251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.06 : 945.09 = 167.84 : x
  2. Step 2: Convert to fraction form
    630.06/945.09 = 167.84/x
  3. Step 3: Cross multiply
    630.06x = 945.09 × 167.84
  4. Step 4: Simplify right side
    630.06x = 158,628.38
  5. Step 5: Solve for x
    x = 158,628.38/630.06
  6. Step 6: Final answer
    x = 251.77

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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.