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Finding the Fourth Proportional to 302, 416.79 and 185.54

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Solution

The fourth proportional to 302, 416.79 and 185.54 is: 256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302 : 416.79 = 185.54 : x
  2. Step 2: Convert to fraction form
    302/416.79 = 185.54/x
  3. Step 3: Cross multiply
    302x = 416.79 × 185.54
  4. Step 4: Simplify right side
    302x = 77,331.22
  5. Step 5: Solve for x
    x = 77,331.22/302
  6. Step 6: Final answer
    x = 256.06

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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.