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Finding the Fourth Proportional to 301.35, 415.88 and 177.02

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Solution

The fourth proportional to 301.35, 415.88 and 177.02 is: 244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.35 : 415.88 = 177.02 : x
  2. Step 2: Convert to fraction form
    301.35/415.88 = 177.02/x
  3. Step 3: Cross multiply
    301.35x = 415.88 × 177.02
  4. Step 4: Simplify right side
    301.35x = 73,619.08
  5. Step 5: Solve for x
    x = 73,619.08/301.35
  6. Step 6: Final answer
    x = 244.30

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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.