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Finding the Fourth Proportional to 296.93, 409.77 and 165.94

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Solution

The fourth proportional to 296.93, 409.77 and 165.94 is: 229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.93 : 409.77 = 165.94 : x
  2. Step 2: Convert to fraction form
    296.93/409.77 = 165.94/x
  3. Step 3: Cross multiply
    296.93x = 409.77 × 165.94
  4. Step 4: Simplify right side
    296.93x = 67,996.21
  5. Step 5: Solve for x
    x = 67,996.21/296.93
  6. Step 6: Final answer
    x = 229.00

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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.