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Finding the Fourth Proportional to 301.92, 416.64 and 177.60

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Solution

The fourth proportional to 301.92, 416.64 and 177.60 is: 245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 416.64 = 177.60 : x
  2. Step 2: Convert to fraction form
    301.92/416.64 = 177.60/x
  3. Step 3: Cross multiply
    301.92x = 416.64 × 177.60
  4. Step 4: Simplify right side
    301.92x = 73,995.26
  5. Step 5: Solve for x
    x = 73,995.26/301.92
  6. Step 6: Final answer
    x = 245.08

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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.