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Finding the Fourth Proportional to 296.23, 408.67 and 171.80

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Solution

The fourth proportional to 296.23, 408.67 and 171.80 is: 237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.23 : 408.67 = 171.80 : x
  2. Step 2: Convert to fraction form
    296.23/408.67 = 171.80/x
  3. Step 3: Cross multiply
    296.23x = 408.67 × 171.80
  4. Step 4: Simplify right side
    296.23x = 70,209.51
  5. Step 5: Solve for x
    x = 70,209.51/296.23
  6. Step 6: Final answer
    x = 237.01

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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.