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Finding the Fourth Proportional to 309.77, 464.66 and 93.35

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Solution

The fourth proportional to 309.77, 464.66 and 93.35 is: 140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.77 : 464.66 = 93.35 : x
  2. Step 2: Convert to fraction form
    309.77/464.66 = 93.35/x
  3. Step 3: Cross multiply
    309.77x = 464.66 × 93.35
  4. Step 4: Simplify right side
    309.77x = 43,377.41
  5. Step 5: Solve for x
    x = 43,377.41/309.77
  6. Step 6: Final answer
    x = 140.03

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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.