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Finding the Fourth Proportional to 304, 419.71 and 187.63

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Solution

The fourth proportional to 304, 419.71 and 187.63 is: 259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304 : 419.71 = 187.63 : x
  2. Step 2: Convert to fraction form
    304/419.71 = 187.63/x
  3. Step 3: Cross multiply
    304x = 419.71 × 187.63
  4. Step 4: Simplify right side
    304x = 78,750.19
  5. Step 5: Solve for x
    x = 78,750.19/304
  6. Step 6: Final answer
    x = 259.05

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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.