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Finding the Fourth Proportional to 296.97, 409.85 and 166.01

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Solution

The fourth proportional to 296.97, 409.85 and 166.01 is: 229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.97 : 409.85 = 166.01 : x
  2. Step 2: Convert to fraction form
    296.97/409.85 = 166.01/x
  3. Step 3: Cross multiply
    296.97x = 409.85 × 166.01
  4. Step 4: Simplify right side
    296.97x = 68,036.32
  5. Step 5: Solve for x
    x = 68,036.32/296.97
  6. Step 6: Final answer
    x = 229.10

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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.