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Finding the Fourth Proportional to 302.25, 417.13 and 185.84

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Solution

The fourth proportional to 302.25, 417.13 and 185.84 is: 256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.25 : 417.13 = 185.84 : x
  2. Step 2: Convert to fraction form
    302.25/417.13 = 185.84/x
  3. Step 3: Cross multiply
    302.25x = 417.13 × 185.84
  4. Step 4: Simplify right side
    302.25x = 77,519.44
  5. Step 5: Solve for x
    x = 77,519.44/302.25
  6. Step 6: Final answer
    x = 256.47

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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.