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Finding the Fourth Proportional to 296.57, 444.99 and 114.01

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Solution

The fourth proportional to 296.57, 444.99 and 114.01 is: 171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.57 : 444.99 = 114.01 : x
  2. Step 2: Convert to fraction form
    296.57/444.99 = 114.01/x
  3. Step 3: Cross multiply
    296.57x = 444.99 × 114.01
  4. Step 4: Simplify right side
    296.57x = 50,733.31
  5. Step 5: Solve for x
    x = 50,733.31/296.57
  6. Step 6: Final answer
    x = 171.07

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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.