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Finding the Fourth Proportional to 296.94, 446.25 and 175.26

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Solution

The fourth proportional to 296.94, 446.25 and 175.26 is: 263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.94 : 446.25 = 175.26 : x
  2. Step 2: Convert to fraction form
    296.94/446.25 = 175.26/x
  3. Step 3: Cross multiply
    296.94x = 446.25 × 175.26
  4. Step 4: Simplify right side
    296.94x = 78,209.78
  5. Step 5: Solve for x
    x = 78,209.78/296.94
  6. Step 6: Final answer
    x = 263.39

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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.