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Finding the Fourth Proportional to 559.05, 838.47 and 148.19

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Solution

The fourth proportional to 559.05, 838.47 and 148.19 is: 222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.05 : 838.47 = 148.19 : x
  2. Step 2: Convert to fraction form
    559.05/838.47 = 148.19/x
  3. Step 3: Cross multiply
    559.05x = 838.47 × 148.19
  4. Step 4: Simplify right side
    559.05x = 124,248.68
  5. Step 5: Solve for x
    x = 124,248.68/559.05
  6. Step 6: Final answer
    x = 222.25

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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.