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Finding the Fourth Proportional to 301.23, 415.71 and 176.85

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Solution

The fourth proportional to 301.23, 415.71 and 176.85 is: 244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.23 : 415.71 = 176.85 : x
  2. Step 2: Convert to fraction form
    301.23/415.71 = 176.85/x
  3. Step 3: Cross multiply
    301.23x = 415.71 × 176.85
  4. Step 4: Simplify right side
    301.23x = 73,518.31
  5. Step 5: Solve for x
    x = 73,518.31/301.23
  6. Step 6: Final answer
    x = 244.06

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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.