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Finding the Fourth Proportional to 302.40, 417.34 and 169.64

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Solution

The fourth proportional to 302.40, 417.34 and 169.64 is: 234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 417.34 = 169.64 : x
  2. Step 2: Convert to fraction form
    302.40/417.34 = 169.64/x
  3. Step 3: Cross multiply
    302.40x = 417.34 × 169.64
  4. Step 4: Simplify right side
    302.40x = 70,794.62
  5. Step 5: Solve for x
    x = 70,794.62/302.40
  6. Step 6: Final answer
    x = 234.11

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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.