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Finding the Fourth Proportional to 309.66, 464.53 and 104.16

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Solution

The fourth proportional to 309.66, 464.53 and 104.16 is: 156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.66 : 464.53 = 104.16 : x
  2. Step 2: Convert to fraction form
    309.66/464.53 = 104.16/x
  3. Step 3: Cross multiply
    309.66x = 464.53 × 104.16
  4. Step 4: Simplify right side
    309.66x = 48,385.44
  5. Step 5: Solve for x
    x = 48,385.44/309.66
  6. Step 6: Final answer
    x = 156.25

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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.