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Finding the Fourth Proportional to 304.65, 420.25 and 180.25

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Solution

The fourth proportional to 304.65, 420.25 and 180.25 is: 248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.65 : 420.25 = 180.25 : x
  2. Step 2: Convert to fraction form
    304.65/420.25 = 180.25/x
  3. Step 3: Cross multiply
    304.65x = 420.25 × 180.25
  4. Step 4: Simplify right side
    304.65x = 75,750.06
  5. Step 5: Solve for x
    x = 75,750.06/304.65
  6. Step 6: Final answer
    x = 248.65

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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.