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Finding the Fourth Proportional to 454.35, 681.30 and 141.95

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Solution

The fourth proportional to 454.35, 681.30 and 141.95 is: 212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.35 : 681.30 = 141.95 : x
  2. Step 2: Convert to fraction form
    454.35/681.30 = 141.95/x
  3. Step 3: Cross multiply
    454.35x = 681.30 × 141.95
  4. Step 4: Simplify right side
    454.35x = 96,710.54
  5. Step 5: Solve for x
    x = 96,710.54/454.35
  6. Step 6: Final answer
    x = 212.85

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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.