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Finding the Fourth Proportional to 304.13, 419.58 and 186.12

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Solution

The fourth proportional to 304.13, 419.58 and 186.12 is: 256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 419.58 = 186.12 : x
  2. Step 2: Convert to fraction form
    304.13/419.58 = 186.12/x
  3. Step 3: Cross multiply
    304.13x = 419.58 × 186.12
  4. Step 4: Simplify right side
    304.13x = 78,092.23
  5. Step 5: Solve for x
    x = 78,092.23/304.13
  6. Step 6: Final answer
    x = 256.77

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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.