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Finding the Fourth Proportional to 302.32, 417.24 and 171.34

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Solution

The fourth proportional to 302.32, 417.24 and 171.34 is: 236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.32 : 417.24 = 171.34 : x
  2. Step 2: Convert to fraction form
    302.32/417.24 = 171.34/x
  3. Step 3: Cross multiply
    302.32x = 417.24 × 171.34
  4. Step 4: Simplify right side
    302.32x = 71,489.90
  5. Step 5: Solve for x
    x = 71,489.90/302.32
  6. Step 6: Final answer
    x = 236.47

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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.