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Finding the Fourth Proportional to 309.52, 464.14 and 104.05

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Solution

The fourth proportional to 309.52, 464.14 and 104.05 is: 156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.52 : 464.14 = 104.05 : x
  2. Step 2: Convert to fraction form
    309.52/464.14 = 104.05/x
  3. Step 3: Cross multiply
    309.52x = 464.14 × 104.05
  4. Step 4: Simplify right side
    309.52x = 48,293.77
  5. Step 5: Solve for x
    x = 48,293.77/309.52
  6. Step 6: Final answer
    x = 156.03

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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.