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Finding the Fourth Proportional to 304.53, 420.05 and 193.81

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Solution

The fourth proportional to 304.53, 420.05 and 193.81 is: 267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.53 : 420.05 = 193.81 : x
  2. Step 2: Convert to fraction form
    304.53/420.05 = 193.81/x
  3. Step 3: Cross multiply
    304.53x = 420.05 × 193.81
  4. Step 4: Simplify right side
    304.53x = 81,410.11
  5. Step 5: Solve for x
    x = 81,410.11/304.53
  6. Step 6: Final answer
    x = 267.33

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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.