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Finding the Fourth Proportional to 302.61, 417.59 and 171.61

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Solution

The fourth proportional to 302.61, 417.59 and 171.61 is: 236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.61 : 417.59 = 171.61 : x
  2. Step 2: Convert to fraction form
    302.61/417.59 = 171.61/x
  3. Step 3: Cross multiply
    302.61x = 417.59 × 171.61
  4. Step 4: Simplify right side
    302.61x = 71,662.62
  5. Step 5: Solve for x
    x = 71,662.62/302.61
  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.