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Finding the Fourth Proportional to 296.95, 445.16 and 166.84

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Solution

The fourth proportional to 296.95, 445.16 and 166.84 is: 250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.95 : 445.16 = 166.84 : x
  2. Step 2: Convert to fraction form
    296.95/445.16 = 166.84/x
  3. Step 3: Cross multiply
    296.95x = 445.16 × 166.84
  4. Step 4: Simplify right side
    296.95x = 74,268.55
  5. Step 5: Solve for x
    x = 74,268.55/296.95
  6. Step 6: Final answer
    x = 250.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.