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Finding the Fourth Proportional to 304.85, 457.67 and 142.64

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Solution

The fourth proportional to 304.85, 457.67 and 142.64 is: 214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.85 : 457.67 = 142.64 : x
  2. Step 2: Convert to fraction form
    304.85/457.67 = 142.64/x
  3. Step 3: Cross multiply
    304.85x = 457.67 × 142.64
  4. Step 4: Simplify right side
    304.85x = 65,282.05
  5. Step 5: Solve for x
    x = 65,282.05/304.85
  6. Step 6: Final answer
    x = 214.14

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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.