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Finding the Fourth Proportional to 304.90, 457.21 and 96.61

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Solution

The fourth proportional to 304.90, 457.21 and 96.61 is: 144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.90 : 457.21 = 96.61 : x
  2. Step 2: Convert to fraction form
    304.90/457.21 = 96.61/x
  3. Step 3: Cross multiply
    304.90x = 457.21 × 96.61
  4. Step 4: Simplify right side
    304.90x = 44,172.45
  5. Step 5: Solve for x
    x = 44,172.45/304.90
  6. Step 6: Final answer
    x = 144.88

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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.