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Finding the Fourth Proportional to 336.77, 505.15 and 105.64

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Solution

The fourth proportional to 336.77, 505.15 and 105.64 is: 158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.77 : 505.15 = 105.64 : x
  2. Step 2: Convert to fraction form
    336.77/505.15 = 105.64/x
  3. Step 3: Cross multiply
    336.77x = 505.15 × 105.64
  4. Step 4: Simplify right side
    336.77x = 53,361.52
  5. Step 5: Solve for x
    x = 53,361.52/336.77
  6. Step 6: Final answer
    x = 158.45

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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.