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Finding the Fourth Proportional to 296.95, 445.32 and 101.91

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Solution

The fourth proportional to 296.95, 445.32 and 101.91 is: 152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.95 : 445.32 = 101.91 : x
  2. Step 2: Convert to fraction form
    296.95/445.32 = 101.91/x
  3. Step 3: Cross multiply
    296.95x = 445.32 × 101.91
  4. Step 4: Simplify right side
    296.95x = 45,382.56
  5. Step 5: Solve for x
    x = 45,382.56/296.95
  6. Step 6: Final answer
    x = 152.83

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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.