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Finding the Fourth Proportional to 302.59, 417.52 and 169.78

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Solution

The fourth proportional to 302.59, 417.52 and 169.78 is: 234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.59 : 417.52 = 169.78 : x
  2. Step 2: Convert to fraction form
    302.59/417.52 = 169.78/x
  3. Step 3: Cross multiply
    302.59x = 417.52 × 169.78
  4. Step 4: Simplify right side
    302.59x = 70,886.55
  5. Step 5: Solve for x
    x = 70,886.55/302.59
  6. Step 6: Final answer
    x = 234.27

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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.