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Finding the Fourth Proportional to 302.75, 417.69 and 184.69

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Solution

The fourth proportional to 302.75, 417.69 and 184.69 is: 254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.75 : 417.69 = 184.69 : x
  2. Step 2: Convert to fraction form
    302.75/417.69 = 184.69/x
  3. Step 3: Cross multiply
    302.75x = 417.69 × 184.69
  4. Step 4: Simplify right side
    302.75x = 77,143.69
  5. Step 5: Solve for x
    x = 77,143.69/302.75
  6. Step 6: Final answer
    x = 254.81

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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.