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Finding the Fourth Proportional to 301.59, 416.08 and 177.25

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Solution

The fourth proportional to 301.59, 416.08 and 177.25 is: 244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.59 : 416.08 = 177.25 : x
  2. Step 2: Convert to fraction form
    301.59/416.08 = 177.25/x
  3. Step 3: Cross multiply
    301.59x = 416.08 × 177.25
  4. Step 4: Simplify right side
    301.59x = 73,749.29
  5. Step 5: Solve for x
    x = 73,749.29/301.59
  6. Step 6: Final answer
    x = 244.54

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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.