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Finding the Fourth Proportional to 476.23, 714.34 and 168.15

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Solution

The fourth proportional to 476.23, 714.34 and 168.15 is: 252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.23 : 714.34 = 168.15 : x
  2. Step 2: Convert to fraction form
    476.23/714.34 = 168.15/x
  3. Step 3: Cross multiply
    476.23x = 714.34 × 168.15
  4. Step 4: Simplify right side
    476.23x = 120,117.62
  5. Step 5: Solve for x
    x = 120,117.62/476.23
  6. Step 6: Final answer
    x = 252.23

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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.