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Finding the Fourth Proportional to 454.71, 681.94 and 177.02

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Solution

The fourth proportional to 454.71, 681.94 and 177.02 is: 265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.71 : 681.94 = 177.02 : x
  2. Step 2: Convert to fraction form
    454.71/681.94 = 177.02/x
  3. Step 3: Cross multiply
    454.71x = 681.94 × 177.02
  4. Step 4: Simplify right side
    454.71x = 120,717.02
  5. Step 5: Solve for x
    x = 120,717.02/454.71
  6. Step 6: Final answer
    x = 265.48

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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.