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Finding the Fourth Proportional to 296.21, 444.28 and 101.22

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Solution

The fourth proportional to 296.21, 444.28 and 101.22 is: 151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.21 : 444.28 = 101.22 : x
  2. Step 2: Convert to fraction form
    296.21/444.28 = 101.22/x
  3. Step 3: Cross multiply
    296.21x = 444.28 × 101.22
  4. Step 4: Simplify right side
    296.21x = 44,969.52
  5. Step 5: Solve for x
    x = 44,969.52/296.21
  6. Step 6: Final answer
    x = 151.81

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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.