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Finding the Fourth Proportional to 476.01, 714.03 and 167.80

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Solution

The fourth proportional to 476.01, 714.03 and 167.80 is: 251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.01 : 714.03 = 167.80 : x
  2. Step 2: Convert to fraction form
    476.01/714.03 = 167.80/x
  3. Step 3: Cross multiply
    476.01x = 714.03 × 167.80
  4. Step 4: Simplify right side
    476.01x = 119,814.23
  5. Step 5: Solve for x
    x = 119,814.23/476.01
  6. Step 6: Final answer
    x = 251.71

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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.