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Finding the Fourth Proportional to 296.34, 408.94 and 170.30

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Solution

The fourth proportional to 296.34, 408.94 and 170.30 is: 235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.34 : 408.94 = 170.30 : x
  2. Step 2: Convert to fraction form
    296.34/408.94 = 170.30/x
  3. Step 3: Cross multiply
    296.34x = 408.94 × 170.30
  4. Step 4: Simplify right side
    296.34x = 69,642.48
  5. Step 5: Solve for x
    x = 69,642.48/296.34
  6. Step 6: Final answer
    x = 235.01

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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.