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Finding the Fourth Proportional to 294.22, 405.97 and 177.74

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Solution

The fourth proportional to 294.22, 405.97 and 177.74 is: 245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.22 : 405.97 = 177.74 : x
  2. Step 2: Convert to fraction form
    294.22/405.97 = 177.74/x
  3. Step 3: Cross multiply
    294.22x = 405.97 × 177.74
  4. Step 4: Simplify right side
    294.22x = 72,157.11
  5. Step 5: Solve for x
    x = 72,157.11/294.22
  6. Step 6: Final answer
    x = 245.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.