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Finding the Fourth Proportional to 302.46, 417.30 and 171.42

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Solution

The fourth proportional to 302.46, 417.30 and 171.42 is: 236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.46 : 417.30 = 171.42 : x
  2. Step 2: Convert to fraction form
    302.46/417.30 = 171.42/x
  3. Step 3: Cross multiply
    302.46x = 417.30 × 171.42
  4. Step 4: Simplify right side
    302.46x = 71,533.57
  5. Step 5: Solve for x
    x = 71,533.57/302.46
  6. Step 6: Final answer
    x = 236.51

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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.