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Finding the Fourth Proportional to 309.65, 464.54 and 93.22

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Solution

The fourth proportional to 309.65, 464.54 and 93.22 is: 139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.65 : 464.54 = 93.22 : x
  2. Step 2: Convert to fraction form
    309.65/464.54 = 93.22/x
  3. Step 3: Cross multiply
    309.65x = 464.54 × 93.22
  4. Step 4: Simplify right side
    309.65x = 43,304.42
  5. Step 5: Solve for x
    x = 43,304.42/309.65
  6. Step 6: Final answer
    x = 139.85

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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.