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Finding the Fourth Proportional to 296.02, 443.66 and 166.02

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Solution

The fourth proportional to 296.02, 443.66 and 166.02 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.02 : 443.66 = 166.02 : x
  2. Step 2: Convert to fraction form
    296.02/443.66 = 166.02/x
  3. Step 3: Cross multiply
    296.02x = 443.66 × 166.02
  4. Step 4: Simplify right side
    296.02x = 73,656.43
  5. Step 5: Solve for x
    x = 73,656.43/296.02
  6. Step 6: Final answer
    x = 248.82

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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.