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Finding the Fourth Proportional to 309.48, 463.60 and 187.44

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Solution

The fourth proportional to 309.48, 463.60 and 187.44 is: 280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.48 : 463.60 = 187.44 : x
  2. Step 2: Convert to fraction form
    309.48/463.60 = 187.44/x
  3. Step 3: Cross multiply
    309.48x = 463.60 × 187.44
  4. Step 4: Simplify right side
    309.48x = 86,897.18
  5. Step 5: Solve for x
    x = 86,897.18/309.48
  6. Step 6: Final answer
    x = 280.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.