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Finding the Fourth Proportional to 304.68, 457.19 and 150.64

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Solution

The fourth proportional to 304.68, 457.19 and 150.64 is: 226.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.68 : 457.19 = 150.64 : x
  2. Step 2: Convert to fraction form
    304.68/457.19 = 150.64/x
  3. Step 3: Cross multiply
    304.68x = 457.19 × 150.64
  4. Step 4: Simplify right side
    304.68x = 68,871.10
  5. Step 5: Solve for x
    x = 68,871.10/304.68
  6. Step 6: Final answer
    x = 226.04

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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.