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Finding the Fourth Proportional to 296.66, 409.32 and 170.64

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Solution

The fourth proportional to 296.66, 409.32 and 170.64 is: 235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.66 : 409.32 = 170.64 : x
  2. Step 2: Convert to fraction form
    296.66/409.32 = 170.64/x
  3. Step 3: Cross multiply
    296.66x = 409.32 × 170.64
  4. Step 4: Simplify right side
    296.66x = 69,846.36
  5. Step 5: Solve for x
    x = 69,846.36/296.66
  6. Step 6: Final answer
    x = 235.44

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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.