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Finding the Fourth Proportional to 309.84, 464.90 and 147.65

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Solution

The fourth proportional to 309.84, 464.90 and 147.65 is: 221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.84 : 464.90 = 147.65 : x
  2. Step 2: Convert to fraction form
    309.84/464.90 = 147.65/x
  3. Step 3: Cross multiply
    309.84x = 464.90 × 147.65
  4. Step 4: Simplify right side
    309.84x = 68,639.42
  5. Step 5: Solve for x
    x = 68,639.42/309.84
  6. Step 6: Final answer
    x = 221.53

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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.