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Finding the Fourth Proportional to 304.80, 420.42 and 194.08

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Solution

The fourth proportional to 304.80, 420.42 and 194.08 is: 267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.80 : 420.42 = 194.08 : x
  2. Step 2: Convert to fraction form
    304.80/420.42 = 194.08/x
  3. Step 3: Cross multiply
    304.80x = 420.42 × 194.08
  4. Step 4: Simplify right side
    304.80x = 81,595.11
  5. Step 5: Solve for x
    x = 81,595.11/304.80
  6. Step 6: Final answer
    x = 267.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.