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Finding the Fourth Proportional to 559.25, 838.91 and 148.43

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Solution

The fourth proportional to 559.25, 838.91 and 148.43 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.25 : 838.91 = 148.43 : x
  2. Step 2: Convert to fraction form
    559.25/838.91 = 148.43/x
  3. Step 3: Cross multiply
    559.25x = 838.91 × 148.43
  4. Step 4: Simplify right side
    559.25x = 124,521.04
  5. Step 5: Solve for x
    x = 124,521.04/559.25
  6. Step 6: Final answer
    x = 222.66

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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.