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Finding the Fourth Proportional to 302.73, 417.58 and 171.71

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Solution

The fourth proportional to 302.73, 417.58 and 171.71 is: 236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.73 : 417.58 = 171.71 : x
  2. Step 2: Convert to fraction form
    302.73/417.58 = 171.71/x
  3. Step 3: Cross multiply
    302.73x = 417.58 × 171.71
  4. Step 4: Simplify right side
    302.73x = 71,702.66
  5. Step 5: Solve for x
    x = 71,702.66/302.73
  6. Step 6: Final answer
    x = 236.85

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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.