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Finding the Fourth Proportional to 304.71, 420.46 and 171.92

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Solution

The fourth proportional to 304.71, 420.46 and 171.92 is: 237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.71 : 420.46 = 171.92 : x
  2. Step 2: Convert to fraction form
    304.71/420.46 = 171.92/x
  3. Step 3: Cross multiply
    304.71x = 420.46 × 171.92
  4. Step 4: Simplify right side
    304.71x = 72,283.74
  5. Step 5: Solve for x
    x = 72,283.74/304.71
  6. Step 6: Final answer
    x = 237.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.