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Finding the Fourth Proportional to 309.22, 463.85 and 124.19

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Solution

The fourth proportional to 309.22, 463.85 and 124.19 is: 186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 463.85 = 124.19 : x
  2. Step 2: Convert to fraction form
    309.22/463.85 = 124.19/x
  3. Step 3: Cross multiply
    309.22x = 463.85 × 124.19
  4. Step 4: Simplify right side
    309.22x = 57,605.53
  5. Step 5: Solve for x
    x = 57,605.53/309.22
  6. Step 6: Final answer
    x = 186.29

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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.