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Finding the Fourth Proportional to 309.65, 464.57 and 114.75

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Solution

The fourth proportional to 309.65, 464.57 and 114.75 is: 172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.65 : 464.57 = 114.75 : x
  2. Step 2: Convert to fraction form
    309.65/464.57 = 114.75/x
  3. Step 3: Cross multiply
    309.65x = 464.57 × 114.75
  4. Step 4: Simplify right side
    309.65x = 53,308.83
  5. Step 5: Solve for x
    x = 53,308.83/309.65
  6. Step 6: Final answer
    x = 172.16

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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.