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Finding the Fourth Proportional to 309.77, 464.49 and 114.76

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Solution

The fourth proportional to 309.77, 464.49 and 114.76 is: 172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.77 : 464.49 = 114.76 : x
  2. Step 2: Convert to fraction form
    309.77/464.49 = 114.76/x
  3. Step 3: Cross multiply
    309.77x = 464.49 × 114.76
  4. Step 4: Simplify right side
    309.77x = 53,304.87
  5. Step 5: Solve for x
    x = 53,304.87/309.77
  6. Step 6: Final answer
    x = 172.08

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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.