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Finding the Fourth Proportional to 304.23, 419.76 and 187.86

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Solution

The fourth proportional to 304.23, 419.76 and 187.86 is: 259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.23 : 419.76 = 187.86 : x
  2. Step 2: Convert to fraction form
    304.23/419.76 = 187.86/x
  3. Step 3: Cross multiply
    304.23x = 419.76 × 187.86
  4. Step 4: Simplify right side
    304.23x = 78,856.11
  5. Step 5: Solve for x
    x = 78,856.11/304.23
  6. Step 6: Final answer
    x = 259.20

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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.