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Finding the Fourth Proportional to 304.52, 420.19 and 176.74

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Solution

The fourth proportional to 304.52, 420.19 and 176.74 is: 243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.52 : 420.19 = 176.74 : x
  2. Step 2: Convert to fraction form
    304.52/420.19 = 176.74/x
  3. Step 3: Cross multiply
    304.52x = 420.19 × 176.74
  4. Step 4: Simplify right side
    304.52x = 74,262.89
  5. Step 5: Solve for x
    x = 74,262.89/304.52
  6. Step 6: Final answer
    x = 243.87

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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.