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Finding the Fourth Proportional to 454.30, 681.28 and 194.14

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Solution

The fourth proportional to 454.30, 681.28 and 194.14 is: 291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.30 : 681.28 = 194.14 : x
  2. Step 2: Convert to fraction form
    454.30/681.28 = 194.14/x
  3. Step 3: Cross multiply
    454.30x = 681.28 × 194.14
  4. Step 4: Simplify right side
    454.30x = 132,259.32
  5. Step 5: Solve for x
    x = 132,259.32/454.30
  6. Step 6: Final answer
    x = 291.13

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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.