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Finding the Fourth Proportional to 296.26, 444.45 and 142.36

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Solution

The fourth proportional to 296.26, 444.45 and 142.36 is: 213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.26 : 444.45 = 142.36 : x
  2. Step 2: Convert to fraction form
    296.26/444.45 = 142.36/x
  3. Step 3: Cross multiply
    296.26x = 444.45 × 142.36
  4. Step 4: Simplify right side
    296.26x = 63,271.32
  5. Step 5: Solve for x
    x = 63,271.32/296.26
  6. Step 6: Final answer
    x = 213.57

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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.