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Finding the Fourth Proportional to 302.36, 417.16 and 169.56

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Solution

The fourth proportional to 302.36, 417.16 and 169.56 is: 233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.36 : 417.16 = 169.56 : x
  2. Step 2: Convert to fraction form
    302.36/417.16 = 169.56/x
  3. Step 3: Cross multiply
    302.36x = 417.16 × 169.56
  4. Step 4: Simplify right side
    302.36x = 70,734.69
  5. Step 5: Solve for x
    x = 70,734.69/302.36
  6. Step 6: Final answer
    x = 233.94

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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.