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Finding the Fourth Proportional to 302.60, 417.55 and 169.83

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Solution

The fourth proportional to 302.60, 417.55 and 169.83 is: 234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.60 : 417.55 = 169.83 : x
  2. Step 2: Convert to fraction form
    302.60/417.55 = 169.83/x
  3. Step 3: Cross multiply
    302.60x = 417.55 × 169.83
  4. Step 4: Simplify right side
    302.60x = 70,912.52
  5. Step 5: Solve for x
    x = 70,912.52/302.60
  6. Step 6: Final answer
    x = 234.34

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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.