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Finding the Fourth Proportional to 454.02, 681.11 and 145.80

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Solution

The fourth proportional to 454.02, 681.11 and 145.80 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.02 : 681.11 = 145.80 : x
  2. Step 2: Convert to fraction form
    454.02/681.11 = 145.80/x
  3. Step 3: Cross multiply
    454.02x = 681.11 × 145.80
  4. Step 4: Simplify right side
    454.02x = 99,305.11
  5. Step 5: Solve for x
    x = 99,305.11/454.02
  6. Step 6: Final answer
    x = 218.72

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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.