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Finding the Fourth Proportional to 301.24, 452.06 and 177.92

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Solution

The fourth proportional to 301.24, 452.06 and 177.92 is: 267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.24 : 452.06 = 177.92 : x
  2. Step 2: Convert to fraction form
    301.24/452.06 = 177.92/x
  3. Step 3: Cross multiply
    301.24x = 452.06 × 177.92
  4. Step 4: Simplify right side
    301.24x = 80,430.52
  5. Step 5: Solve for x
    x = 80,430.52/301.24
  6. Step 6: Final answer
    x = 267.00

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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.