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Finding the Fourth Proportional to 302.05, 416.69 and 185.57

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Solution

The fourth proportional to 302.05, 416.69 and 185.57 is: 256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.05 : 416.69 = 185.57 : x
  2. Step 2: Convert to fraction form
    302.05/416.69 = 185.57/x
  3. Step 3: Cross multiply
    302.05x = 416.69 × 185.57
  4. Step 4: Simplify right side
    302.05x = 77,324.24
  5. Step 5: Solve for x
    x = 77,324.24/302.05
  6. Step 6: Final answer
    x = 256.00

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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.