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Finding the Fourth Proportional to 296.57, 444.83 and 101.56

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Solution

The fourth proportional to 296.57, 444.83 and 101.56 is: 152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.57 : 444.83 = 101.56 : x
  2. Step 2: Convert to fraction form
    296.57/444.83 = 101.56/x
  3. Step 3: Cross multiply
    296.57x = 444.83 × 101.56
  4. Step 4: Simplify right side
    296.57x = 45,176.93
  5. Step 5: Solve for x
    x = 45,176.93/296.57
  6. Step 6: Final answer
    x = 152.33

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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.