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Finding the Fourth Proportional to 296.80, 445.12 and 114.16

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Solution

The fourth proportional to 296.80, 445.12 and 114.16 is: 171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.80 : 445.12 = 114.16 : x
  2. Step 2: Convert to fraction form
    296.80/445.12 = 114.16/x
  3. Step 3: Cross multiply
    296.80x = 445.12 × 114.16
  4. Step 4: Simplify right side
    296.80x = 50,814.90
  5. Step 5: Solve for x
    x = 50,814.90/296.80
  6. Step 6: Final answer
    x = 171.21

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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.