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Finding the Fourth Proportional to 309.93, 464.96 and 147.53

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Solution

The fourth proportional to 309.93, 464.96 and 147.53 is: 221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.93 : 464.96 = 147.53 : x
  2. Step 2: Convert to fraction form
    309.93/464.96 = 147.53/x
  3. Step 3: Cross multiply
    309.93x = 464.96 × 147.53
  4. Step 4: Simplify right side
    309.93x = 68,595.55
  5. Step 5: Solve for x
    x = 68,595.55/309.93
  6. Step 6: Final answer
    x = 221.33

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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.