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Finding the Fourth Proportional to 302.72, 454.40 and 194.24

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Solution

The fourth proportional to 302.72, 454.40 and 194.24 is: 291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.72 : 454.40 = 194.24 : x
  2. Step 2: Convert to fraction form
    302.72/454.40 = 194.24/x
  3. Step 3: Cross multiply
    302.72x = 454.40 × 194.24
  4. Step 4: Simplify right side
    302.72x = 88,262.66
  5. Step 5: Solve for x
    x = 88,262.66/302.72
  6. Step 6: Final answer
    x = 291.57

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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.