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Finding the Fourth Proportional to 302.65, 417.64 and 169.86

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Solution

The fourth proportional to 302.65, 417.64 and 169.86 is: 234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.65 : 417.64 = 169.86 : x
  2. Step 2: Convert to fraction form
    302.65/417.64 = 169.86/x
  3. Step 3: Cross multiply
    302.65x = 417.64 × 169.86
  4. Step 4: Simplify right side
    302.65x = 70,940.33
  5. Step 5: Solve for x
    x = 70,940.33/302.65
  6. Step 6: Final answer
    x = 234.40

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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.