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Finding the Fourth Proportional to 304.71, 456.75 and 195.11

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Solution

The fourth proportional to 304.71, 456.75 and 195.11 is: 292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.71 : 456.75 = 195.11 : x
  2. Step 2: Convert to fraction form
    304.71/456.75 = 195.11/x
  3. Step 3: Cross multiply
    304.71x = 456.75 × 195.11
  4. Step 4: Simplify right side
    304.71x = 89,114.21
  5. Step 5: Solve for x
    x = 89,114.21/304.71
  6. Step 6: Final answer
    x = 292.46

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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.