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Finding the Fourth Proportional to 304.10, 456.14 and 141.69

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Solution

The fourth proportional to 304.10, 456.14 and 141.69 is: 212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.10 : 456.14 = 141.69 : x
  2. Step 2: Convert to fraction form
    304.10/456.14 = 141.69/x
  3. Step 3: Cross multiply
    304.10x = 456.14 × 141.69
  4. Step 4: Simplify right side
    304.10x = 64,630.48
  5. Step 5: Solve for x
    x = 64,630.48/304.10
  6. Step 6: Final answer
    x = 212.53

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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.