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Finding the Fourth Proportional to 309.48, 463.58 and 181.16

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Solution

The fourth proportional to 309.48, 463.58 and 181.16 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.48 : 463.58 = 181.16 : x
  2. Step 2: Convert to fraction form
    309.48/463.58 = 181.16/x
  3. Step 3: Cross multiply
    309.48x = 463.58 × 181.16
  4. Step 4: Simplify right side
    309.48x = 83,982.15
  5. Step 5: Solve for x
    x = 83,982.15/309.48
  6. Step 6: Final answer
    x = 271.37

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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.