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Finding the Fourth Proportional to 309.93, 464.88 and 104.58

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Solution

The fourth proportional to 309.93, 464.88 and 104.58 is: 156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.93 : 464.88 = 104.58 : x
  2. Step 2: Convert to fraction form
    309.93/464.88 = 104.58/x
  3. Step 3: Cross multiply
    309.93x = 464.88 × 104.58
  4. Step 4: Simplify right side
    309.93x = 48,617.15
  5. Step 5: Solve for x
    x = 48,617.15/309.93
  6. Step 6: Final answer
    x = 156.86

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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.