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Finding the Fourth Proportional to 304.37, 420.02 and 180.02

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Solution

The fourth proportional to 304.37, 420.02 and 180.02 is: 248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.37 : 420.02 = 180.02 : x
  2. Step 2: Convert to fraction form
    304.37/420.02 = 180.02/x
  3. Step 3: Cross multiply
    304.37x = 420.02 × 180.02
  4. Step 4: Simplify right side
    304.37x = 75,613.50
  5. Step 5: Solve for x
    x = 75,613.50/304.37
  6. Step 6: Final answer
    x = 248.43

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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.