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Finding the Fourth Proportional to 302.23, 416.98 and 171.24

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Solution

The fourth proportional to 302.23, 416.98 and 171.24 is: 236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 416.98 = 171.24 : x
  2. Step 2: Convert to fraction form
    302.23/416.98 = 171.24/x
  3. Step 3: Cross multiply
    302.23x = 416.98 × 171.24
  4. Step 4: Simplify right side
    302.23x = 71,401.57
  5. Step 5: Solve for x
    x = 71,401.57/302.23
  6. Step 6: Final answer
    x = 236.25

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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.