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Finding the Fourth Proportional to 302.57, 417.61 and 171.58

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Solution

The fourth proportional to 302.57, 417.61 and 171.58 is: 236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.57 : 417.61 = 171.58 : x
  2. Step 2: Convert to fraction form
    302.57/417.61 = 171.58/x
  3. Step 3: Cross multiply
    302.57x = 417.61 × 171.58
  4. Step 4: Simplify right side
    302.57x = 71,653.52
  5. Step 5: Solve for x
    x = 71,653.52/302.57
  6. Step 6: Final answer
    x = 236.82

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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.