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Finding the Fourth Proportional to 305.38, 457.95 and 132.04

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Solution

The fourth proportional to 305.38, 457.95 and 132.04 is: 198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.38 : 457.95 = 132.04 : x
  2. Step 2: Convert to fraction form
    305.38/457.95 = 132.04/x
  3. Step 3: Cross multiply
    305.38x = 457.95 × 132.04
  4. Step 4: Simplify right side
    305.38x = 60,467.72
  5. Step 5: Solve for x
    x = 60,467.72/305.38
  6. Step 6: Final answer
    x = 198.01

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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.