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Finding the Fourth Proportional to 304.30, 420.14 and 193.93

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Solution

The fourth proportional to 304.30, 420.14 and 193.93 is: 267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.30 : 420.14 = 193.93 : x
  2. Step 2: Convert to fraction form
    304.30/420.14 = 193.93/x
  3. Step 3: Cross multiply
    304.30x = 420.14 × 193.93
  4. Step 4: Simplify right side
    304.30x = 81,476.43
  5. Step 5: Solve for x
    x = 81,476.43/304.30
  6. Step 6: Final answer
    x = 267.75

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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.