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Finding the Fourth Proportional to 302.96, 418.16 and 172.04

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Solution

The fourth proportional to 302.96, 418.16 and 172.04 is: 237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.96 : 418.16 = 172.04 : x
  2. Step 2: Convert to fraction form
    302.96/418.16 = 172.04/x
  3. Step 3: Cross multiply
    302.96x = 418.16 × 172.04
  4. Step 4: Simplify right side
    302.96x = 71,937.30
  5. Step 5: Solve for x
    x = 71,937.30/302.96
  6. Step 6: Final answer
    x = 237.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.