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Finding the Fourth Proportional to 301.01, 415.28 and 176.63

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Solution

The fourth proportional to 301.01, 415.28 and 176.63 is: 243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.01 : 415.28 = 176.63 : x
  2. Step 2: Convert to fraction form
    301.01/415.28 = 176.63/x
  3. Step 3: Cross multiply
    301.01x = 415.28 × 176.63
  4. Step 4: Simplify right side
    301.01x = 73,347.95
  5. Step 5: Solve for x
    x = 73,347.95/301.01
  6. Step 6: Final answer
    x = 243.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.