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Finding the Fourth Proportional to 304.08, 420.14 and 242.37

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Solution

The fourth proportional to 304.08, 420.14 and 242.37 is: 334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.08 : 420.14 = 242.37 : x
  2. Step 2: Convert to fraction form
    304.08/420.14 = 242.37/x
  3. Step 3: Cross multiply
    304.08x = 420.14 × 242.37
  4. Step 4: Simplify right side
    304.08x = 101,829.33
  5. Step 5: Solve for x
    x = 101,829.33/304.08
  6. Step 6: Final answer
    x = 334.88

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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.