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Finding the Fourth Proportional to 559.46, 839.13 and 148.64

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Solution

The fourth proportional to 559.46, 839.13 and 148.64 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.46 : 839.13 = 148.64 : x
  2. Step 2: Convert to fraction form
    559.46/839.13 = 148.64/x
  3. Step 3: Cross multiply
    559.46x = 839.13 × 148.64
  4. Step 4: Simplify right side
    559.46x = 124,723.53
  5. Step 5: Solve for x
    x = 124,723.53/559.46
  6. Step 6: Final answer
    x = 222.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.